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Finding the Fourth Proportional to 31,480.68, 47,224.49 and 10,413.05

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Solution

The fourth proportional to 31,480.68, 47,224.49 and 10,413.05 is: 15,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,480.68 : 47,224.49 = 10,413.05 : x
  2. Step 2: Convert to fraction form
    31,480.68/47,224.49 = 10,413.05/x
  3. Step 3: Cross multiply
    31,480.68x = 47,224.49 × 10,413.05
  4. Step 4: Simplify right side
    31,480.68x = 491,750,687.41
  5. Step 5: Solve for x
    x = 491,750,687.41/31,480.68
  6. Step 6: Final answer
    x = 15,620.71

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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.