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Finding the Fourth Proportional to 33,611.64, 50,413.14 and 11,424.12

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Solution

The fourth proportional to 33,611.64, 50,413.14 and 11,424.12 is: 17,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,611.64 : 50,413.14 = 11,424.12 : x
  2. Step 2: Convert to fraction form
    33,611.64/50,413.14 = 11,424.12/x
  3. Step 3: Cross multiply
    33,611.64x = 50,413.14 × 11,424.12
  4. Step 4: Simplify right side
    33,611.64x = 575,925,760.94
  5. Step 5: Solve for x
    x = 575,925,760.94/33,611.64
  6. Step 6: Final answer
    x = 17,134.71

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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.