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Finding the Fourth Proportional to 55,148.44, 82,589.40 and 31,384

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Solution

The fourth proportional to 55,148.44, 82,589.40 and 31,384 is: 47,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,148.44 : 82,589.40 = 31,384 : x
  2. Step 2: Convert to fraction form
    55,148.44/82,589.40 = 31,384/x
  3. Step 3: Cross multiply
    55,148.44x = 82,589.40 × 31,384
  4. Step 4: Simplify right side
    55,148.44x = 2,591,985,729.60
  5. Step 5: Solve for x
    x = 2,591,985,729.60/55,148.44
  6. Step 6: Final answer
    x = 47,000.16

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