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Finding the Fourth Proportional to 106,419.52, 159,644.77 and 31,529.96

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Solution

The fourth proportional to 106,419.52, 159,644.77 and 31,529.96 is: 47,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,419.52 : 159,644.77 = 31,529.96 : x
  2. Step 2: Convert to fraction form
    106,419.52/159,644.77 = 31,529.96/x
  3. Step 3: Cross multiply
    106,419.52x = 159,644.77 × 31,529.96
  4. Step 4: Simplify right side
    106,419.52x = 5,033,593,212.31
  5. Step 5: Solve for x
    x = 5,033,593,212.31/106,419.52
  6. Step 6: Final answer
    x = 47,299.53

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