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Finding the Fourth Proportional to 65,104.24, 89,843.07 and 38,249.20

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Solution

The fourth proportional to 65,104.24, 89,843.07 and 38,249.20 is: 52,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,104.24 : 89,843.07 = 38,249.20 : x
  2. Step 2: Convert to fraction form
    65,104.24/89,843.07 = 38,249.20/x
  3. Step 3: Cross multiply
    65,104.24x = 89,843.07 × 38,249.20
  4. Step 4: Simplify right side
    65,104.24x = 3,436,425,553.04
  5. Step 5: Solve for x
    x = 3,436,425,553.04/65,104.24
  6. Step 6: Final answer
    x = 52,783.44

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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.