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Finding the Fourth Proportional to 98,770.92, 148,171.76 and 32,195.60

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Solution

The fourth proportional to 98,770.92, 148,171.76 and 32,195.60 is: 48,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,770.92 : 148,171.76 = 32,195.60 : x
  2. Step 2: Convert to fraction form
    98,770.92/148,171.76 = 32,195.60/x
  3. Step 3: Cross multiply
    98,770.92x = 148,171.76 × 32,195.60
  4. Step 4: Simplify right side
    98,770.92x = 4,770,478,716.26
  5. Step 5: Solve for x
    x = 4,770,478,716.26/98,770.92
  6. Step 6: Final answer
    x = 48,298.41

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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.