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Finding the Fourth Proportional to 31,342.20, 47,055.02 and 18,204

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Solution

The fourth proportional to 31,342.20, 47,055.02 and 18,204 is: 27,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342.20 : 47,055.02 = 18,204 : x
  2. Step 2: Convert to fraction form
    31,342.20/47,055.02 = 18,204/x
  3. Step 3: Cross multiply
    31,342.20x = 47,055.02 × 18,204
  4. Step 4: Simplify right side
    31,342.20x = 856,589,493.06
  5. Step 5: Solve for x
    x = 856,589,493.06/31,342.20
  6. Step 6: Final answer
    x = 27,330.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.