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Finding the Fourth Proportional to 50,074.50, 69,102.81 and 27,413.42

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Solution

The fourth proportional to 50,074.50, 69,102.81 and 27,413.42 is: 37,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,074.50 : 69,102.81 = 27,413.42 : x
  2. Step 2: Convert to fraction form
    50,074.50/69,102.81 = 27,413.42/x
  3. Step 3: Cross multiply
    50,074.50x = 69,102.81 × 27,413.42
  4. Step 4: Simplify right side
    50,074.50x = 1,894,344,353.71
  5. Step 5: Solve for x
    x = 1,894,344,353.71/50,074.50
  6. Step 6: Final answer
    x = 37,830.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.