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Finding the Fourth Proportional to 83,793.64, 115,500.90 and 63,584.68

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Solution

The fourth proportional to 83,793.64, 115,500.90 and 63,584.68 is: 87,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,793.64 : 115,500.90 = 63,584.68 : x
  2. Step 2: Convert to fraction form
    83,793.64/115,500.90 = 63,584.68/x
  3. Step 3: Cross multiply
    83,793.64x = 115,500.90 × 63,584.68
  4. Step 4: Simplify right side
    83,793.64x = 7,344,087,766.21
  5. Step 5: Solve for x
    x = 7,344,087,766.21/83,793.64
  6. Step 6: Final answer
    x = 87,644.93

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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.