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Finding the Fourth Proportional to 92,191.97, 138,298.67 and 32,201.88

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Solution

The fourth proportional to 92,191.97, 138,298.67 and 32,201.88 is: 48,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,191.97 : 138,298.67 = 32,201.88 : x
  2. Step 2: Convert to fraction form
    92,191.97/138,298.67 = 32,201.88/x
  3. Step 3: Cross multiply
    92,191.97x = 138,298.67 × 32,201.88
  4. Step 4: Simplify right side
    92,191.97x = 4,453,476,915.02
  5. Step 5: Solve for x
    x = 4,453,476,915.02/92,191.97
  6. Step 6: Final answer
    x = 48,306.56

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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.