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Finding the Fourth Proportional to 83,463.92, 115,191.24 and 47,645.84

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Solution

The fourth proportional to 83,463.92, 115,191.24 and 47,645.84 is: 65,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,463.92 : 115,191.24 = 47,645.84 : x
  2. Step 2: Convert to fraction form
    83,463.92/115,191.24 = 47,645.84/x
  3. Step 3: Cross multiply
    83,463.92x = 115,191.24 × 47,645.84
  4. Step 4: Simplify right side
    83,463.92x = 5,488,383,390.44
  5. Step 5: Solve for x
    x = 5,488,383,390.44/83,463.92
  6. Step 6: Final answer
    x = 65,757.56

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1.5x scale

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.