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Finding the Fourth Proportional to 83,896.50, 115,751.10 and 47,591.97

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Solution

The fourth proportional to 83,896.50, 115,751.10 and 47,591.97 is: 65,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,896.50 : 115,751.10 = 47,591.97 : x
  2. Step 2: Convert to fraction form
    83,896.50/115,751.10 = 47,591.97/x
  3. Step 3: Cross multiply
    83,896.50x = 115,751.10 × 47,591.97
  4. Step 4: Simplify right side
    83,896.50x = 5,508,822,878.67
  5. Step 5: Solve for x
    x = 5,508,822,878.67/83,896.50
  6. Step 6: Final answer
    x = 65,662.13

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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.