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Finding the Fourth Proportional to 32,414.29, 48,621.44 and 10,229.39

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Solution

The fourth proportional to 32,414.29, 48,621.44 and 10,229.39 is: 15,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.29 : 48,621.44 = 10,229.39 : x
  2. Step 2: Convert to fraction form
    32,414.29/48,621.44 = 10,229.39/x
  3. Step 3: Cross multiply
    32,414.29x = 48,621.44 × 10,229.39
  4. Step 4: Simplify right side
    32,414.29x = 497,367,620.97
  5. Step 5: Solve for x
    x = 497,367,620.97/32,414.29
  6. Step 6: Final answer
    x = 15,344.09

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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.