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Finding the Fourth Proportional to 51,195.52, 76,747.68 and 20,052.48

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Solution

The fourth proportional to 51,195.52, 76,747.68 and 20,052.48 is: 30,060.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,195.52 : 76,747.68 = 20,052.48 : x
  2. Step 2: Convert to fraction form
    51,195.52/76,747.68 = 20,052.48/x
  3. Step 3: Cross multiply
    51,195.52x = 76,747.68 × 20,052.48
  4. Step 4: Simplify right side
    51,195.52x = 1,538,981,318.25
  5. Step 5: Solve for x
    x = 1,538,981,318.25/51,195.52
  6. Step 6: Final answer
    x = 30,060.86

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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.