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Finding the Fourth Proportional to 90,343.82, 135,537.26 and 31,180

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Solution

The fourth proportional to 90,343.82, 135,537.26 and 31,180 is: 46,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,343.82 : 135,537.26 = 31,180 : x
  2. Step 2: Convert to fraction form
    90,343.82/135,537.26 = 31,180/x
  3. Step 3: Cross multiply
    90,343.82x = 135,537.26 × 31,180
  4. Step 4: Simplify right side
    90,343.82x = 4,226,051,766.80
  5. Step 5: Solve for x
    x = 4,226,051,766.80/90,343.82
  6. Step 6: Final answer
    x = 46,777.43

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