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Finding the Fourth Proportional to 65,721.80, 98,453.10 and 39,348.20

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Solution

The fourth proportional to 65,721.80, 98,453.10 and 39,348.20 is: 58,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,721.80 : 98,453.10 = 39,348.20 : x
  2. Step 2: Convert to fraction form
    65,721.80/98,453.10 = 39,348.20/x
  3. Step 3: Cross multiply
    65,721.80x = 98,453.10 × 39,348.20
  4. Step 4: Simplify right side
    65,721.80x = 3,873,952,269.42
  5. Step 5: Solve for x
    x = 3,873,952,269.42/65,721.80
  6. Step 6: Final answer
    x = 58,944.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.