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Finding the Fourth Proportional to 31,882.26, 47,770.14 and 22,506.90

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Solution

The fourth proportional to 31,882.26, 47,770.14 and 22,506.90 is: 33,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.26 : 47,770.14 = 22,506.90 : x
  2. Step 2: Convert to fraction form
    31,882.26/47,770.14 = 22,506.90/x
  3. Step 3: Cross multiply
    31,882.26x = 47,770.14 × 22,506.90
  4. Step 4: Simplify right side
    31,882.26x = 1,075,157,763.97
  5. Step 5: Solve for x
    x = 1,075,157,763.97/31,882.26
  6. Step 6: Final answer
    x = 33,722.76

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