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Finding the Fourth Proportional to 106,896.57, 160,295.78 and 30,977.85

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Solution

The fourth proportional to 106,896.57, 160,295.78 and 30,977.85 is: 46,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,896.57 : 160,295.78 = 30,977.85 : x
  2. Step 2: Convert to fraction form
    106,896.57/160,295.78 = 30,977.85/x
  3. Step 3: Cross multiply
    106,896.57x = 160,295.78 × 30,977.85
  4. Step 4: Simplify right side
    106,896.57x = 4,965,618,473.58
  5. Step 5: Solve for x
    x = 4,965,618,473.58/106,896.57
  6. Step 6: Final answer
    x = 46,452.55

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