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Finding the Fourth Proportional to 82,354.25, 123,520.46 and 23,194.57

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Solution

The fourth proportional to 82,354.25, 123,520.46 and 23,194.57 is: 34,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,354.25 : 123,520.46 = 23,194.57 : x
  2. Step 2: Convert to fraction form
    82,354.25/123,520.46 = 23,194.57/x
  3. Step 3: Cross multiply
    82,354.25x = 123,520.46 × 23,194.57
  4. Step 4: Simplify right side
    82,354.25x = 2,865,003,839.93
  5. Step 5: Solve for x
    x = 2,865,003,839.93/82,354.25
  6. Step 6: Final answer
    x = 34,788.78

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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.