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Finding the Fourth Proportional to 83,999.75, 125,936.26 and 50,711.90

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Solution

The fourth proportional to 83,999.75, 125,936.26 and 50,711.90 is: 76,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,999.75 : 125,936.26 = 50,711.90 : x
  2. Step 2: Convert to fraction form
    83,999.75/125,936.26 = 50,711.90/x
  3. Step 3: Cross multiply
    83,999.75x = 125,936.26 × 50,711.90
  4. Step 4: Simplify right side
    83,999.75x = 6,386,467,211.55
  5. Step 5: Solve for x
    x = 6,386,467,211.55/83,999.75
  6. Step 6: Final answer
    x = 76,029.60

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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.