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Finding the Fourth Proportional to 106,418.52, 159,627.78 and 27,540.72

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Solution

The fourth proportional to 106,418.52, 159,627.78 and 27,540.72 is: 41,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,418.52 : 159,627.78 = 27,540.72 : x
  2. Step 2: Convert to fraction form
    106,418.52/159,627.78 = 27,540.72/x
  3. Step 3: Cross multiply
    106,418.52x = 159,627.78 × 27,540.72
  4. Step 4: Simplify right side
    106,418.52x = 4,396,263,993.20
  5. Step 5: Solve for x
    x = 4,396,263,993.20/106,418.52
  6. Step 6: Final answer
    x = 41,311.08

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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.