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Finding the Fourth Proportional to 38,147.92, 52,644.20 and 21,380.88

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Solution

The fourth proportional to 38,147.92, 52,644.20 and 21,380.88 is: 29,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,147.92 : 52,644.20 = 21,380.88 : x
  2. Step 2: Convert to fraction form
    38,147.92/52,644.20 = 21,380.88/x
  3. Step 3: Cross multiply
    38,147.92x = 52,644.20 × 21,380.88
  4. Step 4: Simplify right side
    38,147.92x = 1,125,579,322.90
  5. Step 5: Solve for x
    x = 1,125,579,322.90/38,147.92
  6. Step 6: Final answer
    x = 29,505.65

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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.