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Finding the Fourth Proportional to 36,387.20, 50,212.22 and 20,470.98

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Solution

The fourth proportional to 36,387.20, 50,212.22 and 20,470.98 is: 28,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,387.20 : 50,212.22 = 20,470.98 : x
  2. Step 2: Convert to fraction form
    36,387.20/50,212.22 = 20,470.98/x
  3. Step 3: Cross multiply
    36,387.20x = 50,212.22 × 20,470.98
  4. Step 4: Simplify right side
    36,387.20x = 1,027,893,351.38
  5. Step 5: Solve for x
    x = 1,027,893,351.38/36,387.20
  6. Step 6: Final answer
    x = 28,248.76

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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.