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Finding the Fourth Proportional to 31,900.43, 44,022.16 and 17,753.27

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Solution

The fourth proportional to 31,900.43, 44,022.16 and 17,753.27 is: 24,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.43 : 44,022.16 = 17,753.27 : x
  2. Step 2: Convert to fraction form
    31,900.43/44,022.16 = 17,753.27/x
  3. Step 3: Cross multiply
    31,900.43x = 44,022.16 × 17,753.27
  4. Step 4: Simplify right side
    31,900.43x = 781,537,027.97
  5. Step 5: Solve for x
    x = 781,537,027.97/31,900.43
  6. Step 6: Final answer
    x = 24,499.27

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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.