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Finding the Fourth Proportional to 33,413.71, 50,116.37 and 10,922.50

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Solution

The fourth proportional to 33,413.71, 50,116.37 and 10,922.50 is: 16,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,413.71 : 50,116.37 = 10,922.50 : x
  2. Step 2: Convert to fraction form
    33,413.71/50,116.37 = 10,922.50/x
  3. Step 3: Cross multiply
    33,413.71x = 50,116.37 × 10,922.50
  4. Step 4: Simplify right side
    33,413.71x = 547,396,151.52
  5. Step 5: Solve for x
    x = 547,396,151.52/33,413.71
  6. Step 6: Final answer
    x = 16,382.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.