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Finding the Fourth Proportional to 51,947.79, 71,687.96 and 29,591.79

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Solution

The fourth proportional to 51,947.79, 71,687.96 and 29,591.79 is: 40,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,947.79 : 71,687.96 = 29,591.79 : x
  2. Step 2: Convert to fraction form
    51,947.79/71,687.96 = 29,591.79/x
  3. Step 3: Cross multiply
    51,947.79x = 71,687.96 × 29,591.79
  4. Step 4: Simplify right side
    51,947.79x = 2,121,375,057.85
  5. Step 5: Solve for x
    x = 2,121,375,057.85/51,947.79
  6. Step 6: Final answer
    x = 40,836.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.