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Finding the Fourth Proportional to 98,878.67, 148,327.11 and 32,319.14

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Solution

The fourth proportional to 98,878.67, 148,327.11 and 32,319.14 is: 48,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,878.67 : 148,327.11 = 32,319.14 : x
  2. Step 2: Convert to fraction form
    98,878.67/148,327.11 = 32,319.14/x
  3. Step 3: Cross multiply
    98,878.67x = 148,327.11 × 32,319.14
  4. Step 4: Simplify right side
    98,878.67x = 4,793,805,004.70
  5. Step 5: Solve for x
    x = 4,793,805,004.70/98,878.67
  6. Step 6: Final answer
    x = 48,481.69

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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.