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Finding the Fourth Proportional to 49,067.70, 67,713.75 and 27,847.32

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Solution

The fourth proportional to 49,067.70, 67,713.75 and 27,847.32 is: 38,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,067.70 : 67,713.75 = 27,847.32 : x
  2. Step 2: Convert to fraction form
    49,067.70/67,713.75 = 27,847.32/x
  3. Step 3: Cross multiply
    49,067.70x = 67,713.75 × 27,847.32
  4. Step 4: Simplify right side
    49,067.70x = 1,885,646,464.65
  5. Step 5: Solve for x
    x = 1,885,646,464.65/49,067.70
  6. Step 6: Final answer
    x = 38,429.49

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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.