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Finding the Fourth Proportional to 32,414.86, 48,622.30 and 10,229.97

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Solution

The fourth proportional to 32,414.86, 48,622.30 and 10,229.97 is: 15,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.86 : 48,622.30 = 10,229.97 : x
  2. Step 2: Convert to fraction form
    32,414.86/48,622.30 = 10,229.97/x
  3. Step 3: Cross multiply
    32,414.86x = 48,622.30 × 10,229.97
  4. Step 4: Simplify right side
    32,414.86x = 497,404,855.86
  5. Step 5: Solve for x
    x = 497,404,855.86/32,414.86
  6. Step 6: Final answer
    x = 15,344.96

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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.