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Finding the Fourth Proportional to 78,413.28, 117,619.20 and 31,665.48

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Solution

The fourth proportional to 78,413.28, 117,619.20 and 31,665.48 is: 47,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.28 : 117,619.20 = 31,665.48 : x
  2. Step 2: Convert to fraction form
    78,413.28/117,619.20 = 31,665.48/x
  3. Step 3: Cross multiply
    78,413.28x = 117,619.20 × 31,665.48
  4. Step 4: Simplify right side
    78,413.28x = 3,724,468,425.22
  5. Step 5: Solve for x
    x = 3,724,468,425.22/78,413.28
  6. Step 6: Final answer
    x = 47,497.93

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