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Finding the Fourth Proportional to 76,854.52, 115,293.68 and 32,481.44

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Solution

The fourth proportional to 76,854.52, 115,293.68 and 32,481.44 is: 48,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854.52 : 115,293.68 = 32,481.44 : x
  2. Step 2: Convert to fraction form
    76,854.52/115,293.68 = 32,481.44/x
  3. Step 3: Cross multiply
    76,854.52x = 115,293.68 × 32,481.44
  4. Step 4: Simplify right side
    76,854.52x = 3,744,904,749.30
  5. Step 5: Solve for x
    x = 3,744,904,749.30/76,854.52
  6. Step 6: Final answer
    x = 48,727.19

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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.