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Finding the Fourth Proportional to 67,243.82, 100,584.80 and 47,251.90

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Solution

The fourth proportional to 67,243.82, 100,584.80 and 47,251.90 is: 70,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,243.82 : 100,584.80 = 47,251.90 : x
  2. Step 2: Convert to fraction form
    67,243.82/100,584.80 = 47,251.90/x
  3. Step 3: Cross multiply
    67,243.82x = 100,584.80 × 47,251.90
  4. Step 4: Simplify right side
    67,243.82x = 4,752,822,674.86
  5. Step 5: Solve for x
    x = 4,752,822,674.86/67,243.82
  6. Step 6: Final answer
    x = 70,680.44

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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.