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Finding the Fourth Proportional to 106,824.71, 160,231.45 and 31,945.48

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Solution

The fourth proportional to 106,824.71, 160,231.45 and 31,945.48 is: 47,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,824.71 : 160,231.45 = 31,945.48 : x
  2. Step 2: Convert to fraction form
    106,824.71/160,231.45 = 31,945.48/x
  3. Step 3: Cross multiply
    106,824.71x = 160,231.45 × 31,945.48
  4. Step 4: Simplify right side
    106,824.71x = 5,118,670,581.35
  5. Step 5: Solve for x
    x = 5,118,670,581.35/106,824.71
  6. Step 6: Final answer
    x = 47,916.54

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