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Finding the Fourth Proportional to 83,889.57, 115,769.59 and 47,593.47

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Solution

The fourth proportional to 83,889.57, 115,769.59 and 47,593.47 is: 65,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,889.57 : 115,769.59 = 47,593.47 : x
  2. Step 2: Convert to fraction form
    83,889.57/115,769.59 = 47,593.47/x
  3. Step 3: Cross multiply
    83,889.57x = 115,769.59 × 47,593.47
  4. Step 4: Simplify right side
    83,889.57x = 5,509,876,508.58
  5. Step 5: Solve for x
    x = 5,509,876,508.58/83,889.57
  6. Step 6: Final answer
    x = 65,680.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.