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Finding the Fourth Proportional to 71,198.80, 98,232.14 and 47,329.52

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Solution

The fourth proportional to 71,198.80, 98,232.14 and 47,329.52 is: 65,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,198.80 : 98,232.14 = 47,329.52 : x
  2. Step 2: Convert to fraction form
    71,198.80/98,232.14 = 47,329.52/x
  3. Step 3: Cross multiply
    71,198.80x = 98,232.14 × 47,329.52
  4. Step 4: Simplify right side
    71,198.80x = 4,649,279,661.94
  5. Step 5: Solve for x
    x = 4,649,279,661.94/71,198.80
  6. Step 6: Final answer
    x = 65,299.97

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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.