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Finding the Fourth Proportional to 65,809.80, 98,729.10 and 32,545.80

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Solution

The fourth proportional to 65,809.80, 98,729.10 and 32,545.80 is: 48,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,809.80 : 98,729.10 = 32,545.80 : x
  2. Step 2: Convert to fraction form
    65,809.80/98,729.10 = 32,545.80/x
  3. Step 3: Cross multiply
    65,809.80x = 98,729.10 × 32,545.80
  4. Step 4: Simplify right side
    65,809.80x = 3,213,217,542.78
  5. Step 5: Solve for x
    x = 3,213,217,542.78/65,809.80
  6. Step 6: Final answer
    x = 48,825.82

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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.