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Finding the Fourth Proportional to 54,804.06, 82,205.37 and 31,413.78

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Solution

The fourth proportional to 54,804.06, 82,205.37 and 31,413.78 is: 47,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,804.06 : 82,205.37 = 31,413.78 : x
  2. Step 2: Convert to fraction form
    54,804.06/82,205.37 = 31,413.78/x
  3. Step 3: Cross multiply
    54,804.06x = 82,205.37 × 31,413.78
  4. Step 4: Simplify right side
    54,804.06x = 2,582,381,408.00
  5. Step 5: Solve for x
    x = 2,582,381,408.00/54,804.06
  6. Step 6: Final answer
    x = 47,120.26

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