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Finding the Fourth Proportional to 31,413.80, 47,115.83 and 20,398.61

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Solution

The fourth proportional to 31,413.80, 47,115.83 and 20,398.61 is: 30,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413.80 : 47,115.83 = 20,398.61 : x
  2. Step 2: Convert to fraction form
    31,413.80/47,115.83 = 20,398.61/x
  3. Step 3: Cross multiply
    31,413.80x = 47,115.83 × 20,398.61
  4. Step 4: Simplify right side
    31,413.80x = 961,097,103.42
  5. Step 5: Solve for x
    x = 961,097,103.42/31,413.80
  6. Step 6: Final answer
    x = 30,594.75

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