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Finding the Fourth Proportional to 106,785.84, 160,167.84 and 27,889.84

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Solution

The fourth proportional to 106,785.84, 160,167.84 and 27,889.84 is: 41,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,785.84 : 160,167.84 = 27,889.84 : x
  2. Step 2: Convert to fraction form
    106,785.84/160,167.84 = 27,889.84/x
  3. Step 3: Cross multiply
    106,785.84x = 160,167.84 × 27,889.84
  4. Step 4: Simplify right side
    106,785.84x = 4,467,055,430.75
  5. Step 5: Solve for x
    x = 4,467,055,430.75/106,785.84
  6. Step 6: Final answer
    x = 41,831.91

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