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Finding the Fourth Proportional to 38,149.20, 52,627.32 and 22,227.84

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Solution

The fourth proportional to 38,149.20, 52,627.32 and 22,227.84 is: 30,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,149.20 : 52,627.32 = 22,227.84 : x
  2. Step 2: Convert to fraction form
    38,149.20/52,627.32 = 22,227.84/x
  3. Step 3: Cross multiply
    38,149.20x = 52,627.32 × 22,227.84
  4. Step 4: Simplify right side
    38,149.20x = 1,169,791,648.59
  5. Step 5: Solve for x
    x = 1,169,791,648.59/38,149.20
  6. Step 6: Final answer
    x = 30,663.60

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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.