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Finding the Fourth Proportional to 36,282.20, 50,069.53 and 20,149.52

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Solution

The fourth proportional to 36,282.20, 50,069.53 and 20,149.52 is: 27,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,282.20 : 50,069.53 = 20,149.52 : x
  2. Step 2: Convert to fraction form
    36,282.20/50,069.53 = 20,149.52/x
  3. Step 3: Cross multiply
    36,282.20x = 50,069.53 × 20,149.52
  4. Step 4: Simplify right side
    36,282.20x = 1,008,876,996.13
  5. Step 5: Solve for x
    x = 1,008,876,996.13/36,282.20
  6. Step 6: Final answer
    x = 27,806.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.