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Finding the Fourth Proportional to 50,493.38, 69,680.48 and 27,832.37

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Solution

The fourth proportional to 50,493.38, 69,680.48 and 27,832.37 is: 38,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,493.38 : 69,680.48 = 27,832.37 : x
  2. Step 2: Convert to fraction form
    50,493.38/69,680.48 = 27,832.37/x
  3. Step 3: Cross multiply
    50,493.38x = 69,680.48 × 27,832.37
  4. Step 4: Simplify right side
    50,493.38x = 1,939,372,413.57
  5. Step 5: Solve for x
    x = 1,939,372,413.57/50,493.38
  6. Step 6: Final answer
    x = 38,408.45

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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.