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Finding the Fourth Proportional to 50,067, 69,092.46 and 27,711

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Solution

The fourth proportional to 50,067, 69,092.46 and 27,711 is: 38,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,067 : 69,092.46 = 27,711 : x
  2. Step 2: Convert to fraction form
    50,067/69,092.46 = 27,711/x
  3. Step 3: Cross multiply
    50,067x = 69,092.46 × 27,711
  4. Step 4: Simplify right side
    50,067x = 1,914,621,159.06
  5. Step 5: Solve for x
    x = 1,914,621,159.06/50,067
  6. Step 6: Final answer
    x = 38,241.18

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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.