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Finding the Fourth Proportional to 50,413.67, 69,571.33 and 27,753.11

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Solution

The fourth proportional to 50,413.67, 69,571.33 and 27,753.11 is: 38,299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,413.67 : 69,571.33 = 27,753.11 : x
  2. Step 2: Convert to fraction form
    50,413.67/69,571.33 = 27,753.11/x
  3. Step 3: Cross multiply
    50,413.67x = 69,571.33 × 27,753.11
  4. Step 4: Simplify right side
    50,413.67x = 1,930,820,500.38
  5. Step 5: Solve for x
    x = 1,930,820,500.38/50,413.67
  6. Step 6: Final answer
    x = 38,299.55

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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.