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Finding the Fourth Proportional to 83,859.88, 125,764.20 and 23,893.24

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Solution

The fourth proportional to 83,859.88, 125,764.20 and 23,893.24 is: 35,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,859.88 : 125,764.20 = 23,893.24 : x
  2. Step 2: Convert to fraction form
    83,859.88/125,764.20 = 23,893.24/x
  3. Step 3: Cross multiply
    83,859.88x = 125,764.20 × 23,893.24
  4. Step 4: Simplify right side
    83,859.88x = 3,004,914,214.01
  5. Step 5: Solve for x
    x = 3,004,914,214.01/83,859.88
  6. Step 6: Final answer
    x = 35,832.56

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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.