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Finding the Fourth Proportional to 32,504.78, 48,757.17 and 11,439.86

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Solution

The fourth proportional to 32,504.78, 48,757.17 and 11,439.86 is: 17,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,504.78 : 48,757.17 = 11,439.86 : x
  2. Step 2: Convert to fraction form
    32,504.78/48,757.17 = 11,439.86/x
  3. Step 3: Cross multiply
    32,504.78x = 48,757.17 × 11,439.86
  4. Step 4: Simplify right side
    32,504.78x = 557,775,198.80
  5. Step 5: Solve for x
    x = 557,775,198.80/32,504.78
  6. Step 6: Final answer
    x = 17,159.79

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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.