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Finding the Fourth Proportional to 83,463.38, 125,199.63 and 21,134.42

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Solution

The fourth proportional to 83,463.38, 125,199.63 and 21,134.42 is: 31,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,463.38 : 125,199.63 = 21,134.42 : x
  2. Step 2: Convert to fraction form
    83,463.38/125,199.63 = 21,134.42/x
  3. Step 3: Cross multiply
    83,463.38x = 125,199.63 × 21,134.42
  4. Step 4: Simplify right side
    83,463.38x = 2,646,021,564.26
  5. Step 5: Solve for x
    x = 2,646,021,564.26/83,463.38
  6. Step 6: Final answer
    x = 31,702.78

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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.