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Finding the Fourth Proportional to 33,473.24, 50,206.68 and 12,413.32

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Solution

The fourth proportional to 33,473.24, 50,206.68 and 12,413.32 is: 18,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,473.24 : 50,206.68 = 12,413.32 : x
  2. Step 2: Convert to fraction form
    33,473.24/50,206.68 = 12,413.32/x
  3. Step 3: Cross multiply
    33,473.24x = 50,206.68 × 12,413.32
  4. Step 4: Simplify right side
    33,473.24x = 623,231,584.98
  5. Step 5: Solve for x
    x = 623,231,584.98/33,473.24
  6. Step 6: Final answer
    x = 18,618.80

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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.