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Finding the Fourth Proportional to 50,540.43, 69,745.91 and 27,880.92

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Solution

The fourth proportional to 50,540.43, 69,745.91 and 27,880.92 is: 38,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,540.43 : 69,745.91 = 27,880.92 : x
  2. Step 2: Convert to fraction form
    50,540.43/69,745.91 = 27,880.92/x
  3. Step 3: Cross multiply
    50,540.43x = 69,745.91 × 27,880.92
  4. Step 4: Simplify right side
    50,540.43x = 1,944,580,137.04
  5. Step 5: Solve for x
    x = 1,944,580,137.04/50,540.43
  6. Step 6: Final answer
    x = 38,475.73

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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.