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Finding the Fourth Proportional to 83,879.35, 125,862.76 and 33,996.31

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Solution

The fourth proportional to 83,879.35, 125,862.76 and 33,996.31 is: 51,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,879.35 : 125,862.76 = 33,996.31 : x
  2. Step 2: Convert to fraction form
    83,879.35/125,862.76 = 33,996.31/x
  3. Step 3: Cross multiply
    83,879.35x = 125,862.76 × 33,996.31
  4. Step 4: Simplify right side
    83,879.35x = 4,278,869,134.25
  5. Step 5: Solve for x
    x = 4,278,869,134.25/83,879.35
  6. Step 6: Final answer
    x = 51,012.19

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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.