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Finding the Fourth Proportional to 38,178.54, 52,691.31 and 21,414.78

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Solution

The fourth proportional to 38,178.54, 52,691.31 and 21,414.78 is: 29,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,178.54 : 52,691.31 = 21,414.78 : x
  2. Step 2: Convert to fraction form
    38,178.54/52,691.31 = 21,414.78/x
  3. Step 3: Cross multiply
    38,178.54x = 52,691.31 × 21,414.78
  4. Step 4: Simplify right side
    38,178.54x = 1,128,372,811.56
  5. Step 5: Solve for x
    x = 1,128,372,811.56/38,178.54
  6. Step 6: Final answer
    x = 29,555.16

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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.