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Finding the Fourth Proportional to 32,354.27, 48,531.71 and 10,167.16

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Solution

The fourth proportional to 32,354.27, 48,531.71 and 10,167.16 is: 15,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,354.27 : 48,531.71 = 10,167.16 : x
  2. Step 2: Convert to fraction form
    32,354.27/48,531.71 = 10,167.16/x
  3. Step 3: Cross multiply
    32,354.27x = 48,531.71 × 10,167.16
  4. Step 4: Simplify right side
    32,354.27x = 493,429,367.15
  5. Step 5: Solve for x
    x = 493,429,367.15/32,354.27
  6. Step 6: Final answer
    x = 15,250.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.