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Finding the Fourth Proportional to 106,765.30, 160,145.92 and 31,885.66

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Solution

The fourth proportional to 106,765.30, 160,145.92 and 31,885.66 is: 47,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,765.30 : 160,145.92 = 31,885.66 : x
  2. Step 2: Convert to fraction form
    106,765.30/160,145.92 = 31,885.66/x
  3. Step 3: Cross multiply
    106,765.30x = 160,145.92 × 31,885.66
  4. Step 4: Simplify right side
    106,765.30x = 5,106,357,395.35
  5. Step 5: Solve for x
    x = 5,106,357,395.35/106,765.30
  6. Step 6: Final answer
    x = 47,827.88

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