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Finding the Fourth Proportional to 31,901.75, 44,024.42 and 17,755.51

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Solution

The fourth proportional to 31,901.75, 44,024.42 and 17,755.51 is: 24,502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.75 : 44,024.42 = 17,755.51 : x
  2. Step 2: Convert to fraction form
    31,901.75/44,024.42 = 17,755.51/x
  3. Step 3: Cross multiply
    31,901.75x = 44,024.42 × 17,755.51
  4. Step 4: Simplify right side
    31,901.75x = 781,676,029.55
  5. Step 5: Solve for x
    x = 781,676,029.55/31,901.75
  6. Step 6: Final answer
    x = 24,502.61

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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.