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Finding the Fourth Proportional to 31,142.79, 43,023.87 and 20,413.13

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Solution

The fourth proportional to 31,142.79, 43,023.87 and 20,413.13 is: 28,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.79 : 43,023.87 = 20,413.13 : x
  2. Step 2: Convert to fraction form
    31,142.79/43,023.87 = 20,413.13/x
  3. Step 3: Cross multiply
    31,142.79x = 43,023.87 × 20,413.13
  4. Step 4: Simplify right side
    31,142.79x = 878,251,636.29
  5. Step 5: Solve for x
    x = 878,251,636.29/31,142.79
  6. Step 6: Final answer
    x = 28,200.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.