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Finding the Fourth Proportional to 31,501.63, 43,471.92 and 17,354.17

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Solution

The fourth proportional to 31,501.63, 43,471.92 and 17,354.17 is: 23,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.63 : 43,471.92 = 17,354.17 : x
  2. Step 2: Convert to fraction form
    31,501.63/43,471.92 = 17,354.17/x
  3. Step 3: Cross multiply
    31,501.63x = 43,471.92 × 17,354.17
  4. Step 4: Simplify right side
    31,501.63x = 754,419,089.91
  5. Step 5: Solve for x
    x = 754,419,089.91/31,501.63
  6. Step 6: Final answer
    x = 23,948.57

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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.