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Finding the Fourth Proportional to 67,882.20, 101,782.80 and 41,605.80

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Solution

The fourth proportional to 67,882.20, 101,782.80 and 41,605.80 is: 62,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,882.20 : 101,782.80 = 41,605.80 : x
  2. Step 2: Convert to fraction form
    67,882.20/101,782.80 = 41,605.80/x
  3. Step 3: Cross multiply
    67,882.20x = 101,782.80 × 41,605.80
  4. Step 4: Simplify right side
    67,882.20x = 4,234,754,820.24
  5. Step 5: Solve for x
    x = 4,234,754,820.24/67,882.20
  6. Step 6: Final answer
    x = 62,383.88

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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.