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Finding the Fourth Proportional to 67,843.40, 101,736.30 and 32,793.80

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Solution

The fourth proportional to 67,843.40, 101,736.30 and 32,793.80 is: 49,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,843.40 : 101,736.30 = 32,793.80 : x
  2. Step 2: Convert to fraction form
    67,843.40/101,736.30 = 32,793.80/x
  3. Step 3: Cross multiply
    67,843.40x = 101,736.30 × 32,793.80
  4. Step 4: Simplify right side
    67,843.40x = 3,336,319,874.94
  5. Step 5: Solve for x
    x = 3,336,319,874.94/67,843.40
  6. Step 6: Final answer
    x = 49,176.78

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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.