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Finding the Fourth Proportional to 47,480.88, 71,198.96 and 27,765.44

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Solution

The fourth proportional to 47,480.88, 71,198.96 and 27,765.44 is: 41,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,480.88 : 71,198.96 = 27,765.44 : x
  2. Step 2: Convert to fraction form
    47,480.88/71,198.96 = 27,765.44/x
  3. Step 3: Cross multiply
    47,480.88x = 71,198.96 × 27,765.44
  4. Step 4: Simplify right side
    47,480.88x = 1,976,870,451.94
  5. Step 5: Solve for x
    x = 1,976,870,451.94/47,480.88
  6. Step 6: Final answer
    x = 41,635.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.