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Finding the Fourth Proportional to 32,472.30, 48,704.19 and 10,285.86

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Solution

The fourth proportional to 32,472.30, 48,704.19 and 10,285.86 is: 15,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472.30 : 48,704.19 = 10,285.86 : x
  2. Step 2: Convert to fraction form
    32,472.30/48,704.19 = 10,285.86/x
  3. Step 3: Cross multiply
    32,472.30x = 48,704.19 × 10,285.86
  4. Step 4: Simplify right side
    32,472.30x = 500,964,479.75
  5. Step 5: Solve for x
    x = 500,964,479.75/32,472.30
  6. Step 6: Final answer
    x = 15,427.44

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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.