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Finding the Fourth Proportional to 67,049.76, 100,532.88 and 22,663.20

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Solution

The fourth proportional to 67,049.76, 100,532.88 and 22,663.20 is: 33,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,049.76 : 100,532.88 = 22,663.20 : x
  2. Step 2: Convert to fraction form
    67,049.76/100,532.88 = 22,663.20/x
  3. Step 3: Cross multiply
    67,049.76x = 100,532.88 × 22,663.20
  4. Step 4: Simplify right side
    67,049.76x = 2,278,396,766.02
  5. Step 5: Solve for x
    x = 2,278,396,766.02/67,049.76
  6. Step 6: Final answer
    x = 33,980.68

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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.