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Finding the Fourth Proportional to 32,807.78, 49,233.39 and 18,027

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Solution

The fourth proportional to 32,807.78, 49,233.39 and 18,027 is: 27,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,807.78 : 49,233.39 = 18,027 : x
  2. Step 2: Convert to fraction form
    32,807.78/49,233.39 = 18,027/x
  3. Step 3: Cross multiply
    32,807.78x = 49,233.39 × 18,027
  4. Step 4: Simplify right side
    32,807.78x = 887,530,253.93
  5. Step 5: Solve for x
    x = 887,530,253.93/32,807.78
  6. Step 6: Final answer
    x = 27,052.43

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Why These Related Problems?

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