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Finding the Fourth Proportional to 65,713.20, 98,634.60 and 32,470.80

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Solution

The fourth proportional to 65,713.20, 98,634.60 and 32,470.80 is: 48,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.20 : 98,634.60 = 32,470.80 : x
  2. Step 2: Convert to fraction form
    65,713.20/98,634.60 = 32,470.80/x
  3. Step 3: Cross multiply
    65,713.20x = 98,634.60 × 32,470.80
  4. Step 4: Simplify right side
    65,713.20x = 3,202,744,369.68
  5. Step 5: Solve for x
    x = 3,202,744,369.68/65,713.20
  6. Step 6: Final answer
    x = 48,738.22

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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.