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Finding the Fourth Proportional to 33,672.38, 50,523.16 and 18,071.78

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Solution

The fourth proportional to 33,672.38, 50,523.16 and 18,071.78 is: 27,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,672.38 : 50,523.16 = 18,071.78 : x
  2. Step 2: Convert to fraction form
    33,672.38/50,523.16 = 18,071.78/x
  3. Step 3: Cross multiply
    33,672.38x = 50,523.16 × 18,071.78
  4. Step 4: Simplify right side
    33,672.38x = 913,043,432.42
  5. Step 5: Solve for x
    x = 913,043,432.42/33,672.38
  6. Step 6: Final answer
    x = 27,115.50

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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.