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Finding the Fourth Proportional to 38,524.60, 53,169.78 and 22,616.20

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Solution

The fourth proportional to 38,524.60, 53,169.78 and 22,616.20 is: 31,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,524.60 : 53,169.78 = 22,616.20 : x
  2. Step 2: Convert to fraction form
    38,524.60/53,169.78 = 22,616.20/x
  3. Step 3: Cross multiply
    38,524.60x = 53,169.78 × 22,616.20
  4. Step 4: Simplify right side
    38,524.60x = 1,202,498,378.44
  5. Step 5: Solve for x
    x = 1,202,498,378.44/38,524.60
  6. Step 6: Final answer
    x = 31,213.78

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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.