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Finding the Fourth Proportional to 76,753.12, 114,917.10 and 39,232.42

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Solution

The fourth proportional to 76,753.12, 114,917.10 and 39,232.42 is: 58,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,753.12 : 114,917.10 = 39,232.42 : x
  2. Step 2: Convert to fraction form
    76,753.12/114,917.10 = 39,232.42/x
  3. Step 3: Cross multiply
    76,753.12x = 114,917.10 × 39,232.42
  4. Step 4: Simplify right side
    76,753.12x = 4,508,475,932.38
  5. Step 5: Solve for x
    x = 4,508,475,932.38/76,753.12
  6. Step 6: Final answer
    x = 58,739.97

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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.