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Finding the Fourth Proportional to 32,517.73, 48,747.02 and 12,514.47

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Solution

The fourth proportional to 32,517.73, 48,747.02 and 12,514.47 is: 18,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.73 : 48,747.02 = 12,514.47 : x
  2. Step 2: Convert to fraction form
    32,517.73/48,747.02 = 12,514.47/x
  3. Step 3: Cross multiply
    32,517.73x = 48,747.02 × 12,514.47
  4. Step 4: Simplify right side
    32,517.73x = 610,042,874.01
  5. Step 5: Solve for x
    x = 610,042,874.01/32,517.73
  6. Step 6: Final answer
    x = 18,760.31

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Why These Related Problems?

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