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Finding the Fourth Proportional to 83,915.78, 125,874 and 33,996.82

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Solution

The fourth proportional to 83,915.78, 125,874 and 33,996.82 is: 50,995.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,915.78 : 125,874 = 33,996.82 : x
  2. Step 2: Convert to fraction form
    83,915.78/125,874 = 33,996.82/x
  3. Step 3: Cross multiply
    83,915.78x = 125,874 × 33,996.82
  4. Step 4: Simplify right side
    83,915.78x = 4,279,315,720.68
  5. Step 5: Solve for x
    x = 4,279,315,720.68/83,915.78
  6. Step 6: Final answer
    x = 50,995.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.