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Finding the Fourth Proportional to 65,714.20, 98,636.10 and 32,471.80

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Solution

The fourth proportional to 65,714.20, 98,636.10 and 32,471.80 is: 48,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714.20 : 98,636.10 = 32,471.80 : x
  2. Step 2: Convert to fraction form
    65,714.20/98,636.10 = 32,471.80/x
  3. Step 3: Cross multiply
    65,714.20x = 98,636.10 × 32,471.80
  4. Step 4: Simplify right side
    65,714.20x = 3,202,891,711.98
  5. Step 5: Solve for x
    x = 3,202,891,711.98/65,714.20
  6. Step 6: Final answer
    x = 48,739.72

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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.