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Finding the Fourth Proportional to 83,857.88, 125,761.21 and 23,891.25

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Solution

The fourth proportional to 83,857.88, 125,761.21 and 23,891.25 is: 35,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,857.88 : 125,761.21 = 23,891.25 : x
  2. Step 2: Convert to fraction form
    83,857.88/125,761.21 = 23,891.25/x
  3. Step 3: Cross multiply
    83,857.88x = 125,761.21 × 23,891.25
  4. Step 4: Simplify right side
    83,857.88x = 3,004,592,257.68
  5. Step 5: Solve for x
    x = 3,004,592,257.68/83,857.88
  6. Step 6: Final answer
    x = 35,829.58

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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.