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Finding the Fourth Proportional to 38,179.38, 57,255.03 and 13,213.02

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Solution

The fourth proportional to 38,179.38, 57,255.03 and 13,213.02 is: 19,814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,179.38 : 57,255.03 = 13,213.02 : x
  2. Step 2: Convert to fraction form
    38,179.38/57,255.03 = 13,213.02/x
  3. Step 3: Cross multiply
    38,179.38x = 57,255.03 × 13,213.02
  4. Step 4: Simplify right side
    38,179.38x = 756,511,856.49
  5. Step 5: Solve for x
    x = 756,511,856.49/38,179.38
  6. Step 6: Final answer
    x = 19,814.67

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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.