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Finding the Fourth Proportional to 50,391.92, 69,539.38 and 27,730.90

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Solution

The fourth proportional to 50,391.92, 69,539.38 and 27,730.90 is: 38,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,391.92 : 69,539.38 = 27,730.90 : x
  2. Step 2: Convert to fraction form
    50,391.92/69,539.38 = 27,730.90/x
  3. Step 3: Cross multiply
    50,391.92x = 69,539.38 × 27,730.90
  4. Step 4: Simplify right side
    50,391.92x = 1,928,389,610.44
  5. Step 5: Solve for x
    x = 1,928,389,610.44/50,391.92
  6. Step 6: Final answer
    x = 38,267.83

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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.