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Finding the Fourth Proportional to 65,982.60, 98,909.10 and 32,707.80

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Solution

The fourth proportional to 65,982.60, 98,909.10 and 32,707.80 is: 49,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,982.60 : 98,909.10 = 32,707.80 : x
  2. Step 2: Convert to fraction form
    65,982.60/98,909.10 = 32,707.80/x
  3. Step 3: Cross multiply
    65,982.60x = 98,909.10 × 32,707.80
  4. Step 4: Simplify right side
    65,982.60x = 3,235,099,060.98
  5. Step 5: Solve for x
    x = 3,235,099,060.98/65,982.60
  6. Step 6: Final answer
    x = 49,029.58

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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.