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Finding the Fourth Proportional to 106,741.89, 160,107.38 and 31,862.66

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Solution

The fourth proportional to 106,741.89, 160,107.38 and 31,862.66 is: 47,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,741.89 : 160,107.38 = 31,862.66 : x
  2. Step 2: Convert to fraction form
    106,741.89/160,107.38 = 31,862.66/x
  3. Step 3: Cross multiply
    106,741.89x = 160,107.38 × 31,862.66
  4. Step 4: Simplify right side
    106,741.89x = 5,101,446,052.58
  5. Step 5: Solve for x
    x = 5,101,446,052.58/106,741.89
  6. Step 6: Final answer
    x = 47,792.35

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