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Finding the Fourth Proportional to 31,282.68, 43,155.66 and 18,027

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Solution

The fourth proportional to 31,282.68, 43,155.66 and 18,027 is: 24,868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282.68 : 43,155.66 = 18,027 : x
  2. Step 2: Convert to fraction form
    31,282.68/43,155.66 = 18,027/x
  3. Step 3: Cross multiply
    31,282.68x = 43,155.66 × 18,027
  4. Step 4: Simplify right side
    31,282.68x = 777,967,082.82
  5. Step 5: Solve for x
    x = 777,967,082.82/31,282.68
  6. Step 6: Final answer
    x = 24,868.94

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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.