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Finding the Fourth Proportional to 38,081.20, 52,553.12 and 21,314.20

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Solution

The fourth proportional to 38,081.20, 52,553.12 and 21,314.20 is: 29,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,081.20 : 52,553.12 = 21,314.20 : x
  2. Step 2: Convert to fraction form
    38,081.20/52,553.12 = 21,314.20/x
  3. Step 3: Cross multiply
    38,081.20x = 52,553.12 × 21,314.20
  4. Step 4: Simplify right side
    38,081.20x = 1,120,127,710.30
  5. Step 5: Solve for x
    x = 1,120,127,710.30/38,081.20
  6. Step 6: Final answer
    x = 29,414.19

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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.