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One potential real-world problem that could be solved with the sum 102.50 + (-30.95) is balancing a personal budget.
Scenario: A person has a monthly income of $102.50 and needs to subtract their monthly expense of $30.95 to figure out how much money they will have left after paying their bills. By calculating the sum 102.50 + (-30.95), they can determine their available spending money for the month.