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Finding the Fourth Proportional to 109,706.27, 164,542.55 and 34,816.68

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Solution

The fourth proportional to 109,706.27, 164,542.55 and 34,816.68 is: 52,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,706.27 : 164,542.55 = 34,816.68 : x
  2. Step 2: Convert to fraction form
    109,706.27/164,542.55 = 34,816.68/x
  3. Step 3: Cross multiply
    109,706.27x = 164,542.55 × 34,816.68
  4. Step 4: Simplify right side
    109,706.27x = 5,728,825,135.65
  5. Step 5: Solve for x
    x = 5,728,825,135.65/109,706.27
  6. Step 6: Final answer
    x = 52,219.67

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