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Finding the Fourth Proportional to 31,641.17, 43,665.68 and 17,494.52

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Solution

The fourth proportional to 31,641.17, 43,665.68 and 17,494.52 is: 24,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,641.17 : 43,665.68 = 17,494.52 : x
  2. Step 2: Convert to fraction form
    31,641.17/43,665.68 = 17,494.52/x
  3. Step 3: Cross multiply
    31,641.17x = 43,665.68 × 17,494.52
  4. Step 4: Simplify right side
    31,641.17x = 763,909,937.48
  5. Step 5: Solve for x
    x = 763,909,937.48/31,641.17
  6. Step 6: Final answer
    x = 24,142.91

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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.