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Finding the Fourth Proportional to 83,362.83, 115,029.98 and 47,550.71

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Solution

The fourth proportional to 83,362.83, 115,029.98 and 47,550.71 is: 65,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,362.83 : 115,029.98 = 47,550.71 : x
  2. Step 2: Convert to fraction form
    83,362.83/115,029.98 = 47,550.71/x
  3. Step 3: Cross multiply
    83,362.83x = 115,029.98 × 47,550.71
  4. Step 4: Simplify right side
    83,362.83x = 5,469,756,407.38
  5. Step 5: Solve for x
    x = 5,469,756,407.38/83,362.83
  6. Step 6: Final answer
    x = 65,613.85

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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.