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Finding the Fourth Proportional to 106,815.94, 160,185.60 and 31,922.14

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Solution

The fourth proportional to 106,815.94, 160,185.60 and 31,922.14 is: 47,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,815.94 : 160,185.60 = 31,922.14 : x
  2. Step 2: Convert to fraction form
    106,815.94/160,185.60 = 31,922.14/x
  3. Step 3: Cross multiply
    106,815.94x = 160,185.60 × 31,922.14
  4. Step 4: Simplify right side
    106,815.94x = 5,113,467,149.18
  5. Step 5: Solve for x
    x = 5,113,467,149.18/106,815.94
  6. Step 6: Final answer
    x = 47,871.76

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