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Finding the Fourth Proportional to 27,067.50, 40,601.85 and 9,298.14

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Solution

The fourth proportional to 27,067.50, 40,601.85 and 9,298.14 is: 13,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,067.50 : 40,601.85 = 9,298.14 : x
  2. Step 2: Convert to fraction form
    27,067.50/40,601.85 = 9,298.14/x
  3. Step 3: Cross multiply
    27,067.50x = 40,601.85 × 9,298.14
  4. Step 4: Simplify right side
    27,067.50x = 377,521,685.56
  5. Step 5: Solve for x
    x = 377,521,685.56/27,067.50
  6. Step 6: Final answer
    x = 13,947.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.