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Finding the Fourth Proportional to 82,409.98, 123,620.19 and 31,833.13

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Solution

The fourth proportional to 82,409.98, 123,620.19 and 31,833.13 is: 47,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,409.98 : 123,620.19 = 31,833.13 : x
  2. Step 2: Convert to fraction form
    82,409.98/123,620.19 = 31,833.13/x
  3. Step 3: Cross multiply
    82,409.98x = 123,620.19 × 31,833.13
  4. Step 4: Simplify right side
    82,409.98x = 3,935,217,578.89
  5. Step 5: Solve for x
    x = 3,935,217,578.89/82,409.98
  6. Step 6: Final answer
    x = 47,751.71

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