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Finding the Fourth Proportional to 31,689.72, 43,732.27 and 17,542.56

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Solution

The fourth proportional to 31,689.72, 43,732.27 and 17,542.56 is: 24,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,689.72 : 43,732.27 = 17,542.56 : x
  2. Step 2: Convert to fraction form
    31,689.72/43,732.27 = 17,542.56/x
  3. Step 3: Cross multiply
    31,689.72x = 43,732.27 × 17,542.56
  4. Step 4: Simplify right side
    31,689.72x = 767,175,970.41
  5. Step 5: Solve for x
    x = 767,175,970.41/31,689.72
  6. Step 6: Final answer
    x = 24,208.99

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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.