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Finding the Fourth Proportional to 31,615.92, 43,630.52 and 17,468.87

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Solution

The fourth proportional to 31,615.92, 43,630.52 and 17,468.87 is: 24,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.92 : 43,630.52 = 17,468.87 : x
  2. Step 2: Convert to fraction form
    31,615.92/43,630.52 = 17,468.87/x
  3. Step 3: Cross multiply
    31,615.92x = 43,630.52 × 17,468.87
  4. Step 4: Simplify right side
    31,615.92x = 762,175,576.42
  5. Step 5: Solve for x
    x = 762,175,576.42/31,615.92
  6. Step 6: Final answer
    x = 24,107.34

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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.