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Finding the Fourth Proportional to 49,098.56, 67,757.96 and 27,879.80

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Solution

The fourth proportional to 49,098.56, 67,757.96 and 27,879.80 is: 38,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,098.56 : 67,757.96 = 27,879.80 : x
  2. Step 2: Convert to fraction form
    49,098.56/67,757.96 = 27,879.80/x
  3. Step 3: Cross multiply
    49,098.56x = 67,757.96 × 27,879.80
  4. Step 4: Simplify right side
    49,098.56x = 1,889,078,104.12
  5. Step 5: Solve for x
    x = 1,889,078,104.12/49,098.56
  6. Step 6: Final answer
    x = 38,475.23

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1.5x scale

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.