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Finding the Fourth Proportional to 67,147.20, 100,733.16 and 22,171.20

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Solution

The fourth proportional to 67,147.20, 100,733.16 and 22,171.20 is: 33,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,147.20 : 100,733.16 = 22,171.20 : x
  2. Step 2: Convert to fraction form
    67,147.20/100,733.16 = 22,171.20/x
  3. Step 3: Cross multiply
    67,147.20x = 100,733.16 × 22,171.20
  4. Step 4: Simplify right side
    67,147.20x = 2,233,375,036.99
  5. Step 5: Solve for x
    x = 2,233,375,036.99/67,147.20
  6. Step 6: Final answer
    x = 33,260.88

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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.