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Finding the Fourth Proportional to 83,294.84, 124,942.16 and 27,134.86

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Solution

The fourth proportional to 83,294.84, 124,942.16 and 27,134.86 is: 40,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,294.84 : 124,942.16 = 27,134.86 : x
  2. Step 2: Convert to fraction form
    83,294.84/124,942.16 = 27,134.86/x
  3. Step 3: Cross multiply
    83,294.84x = 124,942.16 × 27,134.86
  4. Step 4: Simplify right side
    83,294.84x = 3,390,287,517.25
  5. Step 5: Solve for x
    x = 3,390,287,517.25/83,294.84
  6. Step 6: Final answer
    x = 40,702.25

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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.