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Finding the Fourth Proportional to 27,067.50, 40,601.49 and 10,651.50

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Solution

The fourth proportional to 27,067.50, 40,601.49 and 10,651.50 is: 15,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,067.50 : 40,601.49 = 10,651.50 : x
  2. Step 2: Convert to fraction form
    27,067.50/40,601.49 = 10,651.50/x
  3. Step 3: Cross multiply
    27,067.50x = 40,601.49 × 10,651.50
  4. Step 4: Simplify right side
    27,067.50x = 432,466,770.74
  5. Step 5: Solve for x
    x = 432,466,770.74/27,067.50
  6. Step 6: Final answer
    x = 15,977.34

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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.