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Finding the Fourth Proportional to 106,747.94, 160,144.78 and 31,873.98

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Solution

The fourth proportional to 106,747.94, 160,144.78 and 31,873.98 is: 47,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,747.94 : 160,144.78 = 31,873.98 : x
  2. Step 2: Convert to fraction form
    106,747.94/160,144.78 = 31,873.98/x
  3. Step 3: Cross multiply
    106,747.94x = 160,144.78 × 31,873.98
  4. Step 4: Simplify right side
    106,747.94x = 5,104,451,514.82
  5. Step 5: Solve for x
    x = 5,104,451,514.82/106,747.94
  6. Step 6: Final answer
    x = 47,817.80

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