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Finding the Fourth Proportional to 31,901.60, 44,024.16 and 17,755.68

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Solution

The fourth proportional to 31,901.60, 44,024.16 and 17,755.68 is: 24,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.60 : 44,024.16 = 17,755.68 : x
  2. Step 2: Convert to fraction form
    31,901.60/44,024.16 = 17,755.68/x
  3. Step 3: Cross multiply
    31,901.60x = 44,024.16 × 17,755.68
  4. Step 4: Simplify right side
    31,901.60x = 781,678,897.23
  5. Step 5: Solve for x
    x = 781,678,897.23/31,901.60
  6. Step 6: Final answer
    x = 24,502.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.