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Finding the Fourth Proportional to 47,882.98, 71,745.48 and 27,836.22

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Solution

The fourth proportional to 47,882.98, 71,745.48 and 27,836.22 is: 41,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,882.98 : 71,745.48 = 27,836.22 : x
  2. Step 2: Convert to fraction form
    47,882.98/71,745.48 = 27,836.22/x
  3. Step 3: Cross multiply
    47,882.98x = 71,745.48 × 27,836.22
  4. Step 4: Simplify right side
    47,882.98x = 1,997,123,234.33
  5. Step 5: Solve for x
    x = 1,997,123,234.33/47,882.98
  6. Step 6: Final answer
    x = 41,708.41

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1.5x scale

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.