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Finding the Fourth Proportional to 31,413.27, 47,119.82 and 12,693.09

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Solution

The fourth proportional to 31,413.27, 47,119.82 and 12,693.09 is: 19,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.27 : 47,119.82 = 12,693.09 : x
  2. Step 2: Convert to fraction form
    31,413.27/47,119.82 = 12,693.09/x
  3. Step 3: Cross multiply
    31,413.27x = 47,119.82 × 12,693.09
  4. Step 4: Simplify right side
    31,413.27x = 598,096,229.28
  5. Step 5: Solve for x
    x = 598,096,229.28/31,413.27
  6. Step 6: Final answer
    x = 19,039.60

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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.