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Finding the Fourth Proportional to 64,115.73, 96,178.05 and 24,672.78

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Solution

The fourth proportional to 64,115.73, 96,178.05 and 24,672.78 is: 37,010.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,115.73 : 96,178.05 = 24,672.78 : x
  2. Step 2: Convert to fraction form
    64,115.73/96,178.05 = 24,672.78/x
  3. Step 3: Cross multiply
    64,115.73x = 96,178.05 × 24,672.78
  4. Step 4: Simplify right side
    64,115.73x = 2,372,979,868.48
  5. Step 5: Solve for x
    x = 2,372,979,868.48/64,115.73
  6. Step 6: Final answer
    x = 37,010.88

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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.