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Finding the Fourth Proportional to 98,760.75, 148,142.88 and 32,200.62

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Solution

The fourth proportional to 98,760.75, 148,142.88 and 32,200.62 is: 48,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,760.75 : 148,142.88 = 32,200.62 : x
  2. Step 2: Convert to fraction form
    98,760.75/148,142.88 = 32,200.62/x
  3. Step 3: Cross multiply
    98,760.75x = 148,142.88 × 32,200.62
  4. Step 4: Simplify right side
    98,760.75x = 4,770,292,584.59
  5. Step 5: Solve for x
    x = 4,770,292,584.59/98,760.75
  6. Step 6: Final answer
    x = 48,301.50

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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.