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Finding the Fourth Proportional to 32,229.27, 48,354.15 and 20,456.37

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Solution

The fourth proportional to 32,229.27, 48,354.15 and 20,456.37 is: 30,691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,229.27 : 48,354.15 = 20,456.37 : x
  2. Step 2: Convert to fraction form
    32,229.27/48,354.15 = 20,456.37/x
  3. Step 3: Cross multiply
    32,229.27x = 48,354.15 × 20,456.37
  4. Step 4: Simplify right side
    32,229.27x = 989,150,383.44
  5. Step 5: Solve for x
    x = 989,150,383.44/32,229.27
  6. Step 6: Final answer
    x = 30,691.06

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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.