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Finding the Fourth Proportional to 31,639.52, 43,665 and 17,493.68

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Solution

The fourth proportional to 31,639.52, 43,665 and 17,493.68 is: 24,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,639.52 : 43,665 = 17,493.68 : x
  2. Step 2: Convert to fraction form
    31,639.52/43,665 = 17,493.68/x
  3. Step 3: Cross multiply
    31,639.52x = 43,665 × 17,493.68
  4. Step 4: Simplify right side
    31,639.52x = 763,861,537.20
  5. Step 5: Solve for x
    x = 763,861,537.20/31,639.52
  6. Step 6: Final answer
    x = 24,142.64

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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.