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Finding the Fourth Proportional to 33,651.14, 50,474.88 and 10,275.75

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Solution

The fourth proportional to 33,651.14, 50,474.88 and 10,275.75 is: 15,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,651.14 : 50,474.88 = 10,275.75 : x
  2. Step 2: Convert to fraction form
    33,651.14/50,474.88 = 10,275.75/x
  3. Step 3: Cross multiply
    33,651.14x = 50,474.88 × 10,275.75
  4. Step 4: Simplify right side
    33,651.14x = 518,667,248.16
  5. Step 5: Solve for x
    x = 518,667,248.16/33,651.14
  6. Step 6: Final answer
    x = 15,413.07

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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.