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Finding the Fourth Proportional to 31,704.30, 43,753.31 and 17,557.14

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Solution

The fourth proportional to 31,704.30, 43,753.31 and 17,557.14 is: 24,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.30 : 43,753.31 = 17,557.14 : x
  2. Step 2: Convert to fraction form
    31,704.30/43,753.31 = 17,557.14/x
  3. Step 3: Cross multiply
    31,704.30x = 43,753.31 × 17,557.14
  4. Step 4: Simplify right side
    31,704.30x = 768,182,989.13
  5. Step 5: Solve for x
    x = 768,182,989.13/31,704.30
  6. Step 6: Final answer
    x = 24,229.62

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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.