1. The problem is to find the missing number in the bottom pie chart segment marked with a question mark (?). 2. We observe that the top two pie charts have segments: - Left pie chart: 32, 48, 26 - Right pie chart: 13, 16, 24 3. The bottom pie chart segments are 96, 64, and ? 4. Notice the pattern: the bottom pie chart segments seem to be sums of corresponding segments from the top two pie charts. 5. Calculate the sums of the corresponding segments: - First segments: 32 + 13 = 45 - Second segments: 48 + 16 = 64 - Third segments: 26 + 24 = 50 6. However, the bottom pie chart shows 96 and 64 for the first two segments, which do not match the sums above. Let's check if the bottom segments are multiples of the sums. 7. Check ratio for first segment: 96 / 45 = 2.133... Check ratio for second segment: 64 / 64 = 1 8. Since the second segment matches exactly, let's consider the possibility that the bottom pie chart segments are sums multiplied by a factor. 9. Alternatively, check if the bottom segments correspond to sums of the top segments multiplied by 2: - (32 + 13) * 2 = 45 * 2 = 90 (close to 96) - (48 + 16) * 2 = 64 * 2 = 128 (not matching 64) 10. Another approach is to consider the bottom pie chart segments as sums of the top two pie charts' segments: - 96 = 32 + 48 + 16 - 64 = 13 + 24 + 26 11. Calculate these sums: - 32 + 48 + 16 = 96 - 13 + 24 + 26 = 63 (close to 64) 12. The missing segment should be the sum of the remaining numbers: - 48 + 24 + ? = 64 - 48 + 24 = 72, which is already greater than 64, so this is inconsistent. 13. Let's try summing the segments vertically: - First column: 32 + 13 = 45 - Second column: 48 + 16 = 64 - Third column: 26 + 24 = 50 14. The bottom pie chart segments are 96, 64, and ? - The second segment matches the sum of the second column (64). - The first segment (96) is more than double the first column sum (45). 15. Since the second segment matches, the missing segment should be the sum of the third column segments: - 26 + 24 = 50 16. The options are 52, 26, 48, 73. The closest to 50 is 48. 17. Therefore, the missing number is 48. Final answer: **48**