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Finding the Fourth Proportional to 83,959.92, 125,891.88 and 34,064.24

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Solution

The fourth proportional to 83,959.92, 125,891.88 and 34,064.24 is: 51,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,959.92 : 125,891.88 = 34,064.24 : x
  2. Step 2: Convert to fraction form
    83,959.92/125,891.88 = 34,064.24/x
  3. Step 3: Cross multiply
    83,959.92x = 125,891.88 × 34,064.24
  4. Step 4: Simplify right side
    83,959.92x = 4,288,411,214.37
  5. Step 5: Solve for x
    x = 4,288,411,214.37/83,959.92
  6. Step 6: Final answer
    x = 51,076.89

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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.