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Explanation:

To calculate the maximum sum of 50 integers, we can assume the largest 25 integers as 100, 99, 98, ..., 76.

Average of these 25 integers = (100 + 76)/2 = 88

The average of remaining 25 integers must be 88 - 50 = 38

∴ Maximum sum of all 50 integers = 25 × 88 + 25 × 38 = 25 × 126 = 3150

Hence, 3150.

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