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Finding the Fourth Proportional to 50,198, 69,273.24 and 27,842

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Solution

The fourth proportional to 50,198, 69,273.24 and 27,842 is: 38,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,198 : 69,273.24 = 27,842 : x
  2. Step 2: Convert to fraction form
    50,198/69,273.24 = 27,842/x
  3. Step 3: Cross multiply
    50,198x = 69,273.24 × 27,842
  4. Step 4: Simplify right side
    50,198x = 1,928,705,548.08
  5. Step 5: Solve for x
    x = 1,928,705,548.08/50,198
  6. Step 6: Final answer
    x = 38,421.96

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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.