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Finding the Fourth Proportional to 31,462.56, 43,418.88 and 18,036

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Solution

The fourth proportional to 31,462.56, 43,418.88 and 18,036 is: 24,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462.56 : 43,418.88 = 18,036 : x
  2. Step 2: Convert to fraction form
    31,462.56/43,418.88 = 18,036/x
  3. Step 3: Cross multiply
    31,462.56x = 43,418.88 × 18,036
  4. Step 4: Simplify right side
    31,462.56x = 783,102,919.68
  5. Step 5: Solve for x
    x = 783,102,919.68/31,462.56
  6. Step 6: Final answer
    x = 24,889.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.