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Finding the Fourth Proportional to 50,198.79, 69,273.30 and 27,842.79

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Solution

The fourth proportional to 50,198.79, 69,273.30 and 27,842.79 is: 38,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,198.79 : 69,273.30 = 27,842.79 : x
  2. Step 2: Convert to fraction form
    50,198.79/69,273.30 = 27,842.79/x
  3. Step 3: Cross multiply
    50,198.79x = 69,273.30 × 27,842.79
  4. Step 4: Simplify right side
    50,198.79x = 1,928,761,944.51
  5. Step 5: Solve for x
    x = 1,928,761,944.51/50,198.79
  6. Step 6: Final answer
    x = 38,422.48

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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.