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Finding the Fourth Proportional to 83,227.92, 114,861.52 and 50,962.38

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Solution

The fourth proportional to 83,227.92, 114,861.52 and 50,962.38 is: 70,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,227.92 : 114,861.52 = 50,962.38 : x
  2. Step 2: Convert to fraction form
    83,227.92/114,861.52 = 50,962.38/x
  3. Step 3: Cross multiply
    83,227.92x = 114,861.52 × 50,962.38
  4. Step 4: Simplify right side
    83,227.92x = 5,853,616,403.28
  5. Step 5: Solve for x
    x = 5,853,616,403.28/83,227.92
  6. Step 6: Final answer
    x = 70,332.37

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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.