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Finding the Fourth Proportional to 36,138.48, 54,202.32 and 12,449.76

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Solution

The fourth proportional to 36,138.48, 54,202.32 and 12,449.76 is: 18,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,138.48 : 54,202.32 = 12,449.76 : x
  2. Step 2: Convert to fraction form
    36,138.48/54,202.32 = 12,449.76/x
  3. Step 3: Cross multiply
    36,138.48x = 54,202.32 × 12,449.76
  4. Step 4: Simplify right side
    36,138.48x = 674,805,875.44
  5. Step 5: Solve for x
    x = 674,805,875.44/36,138.48
  6. Step 6: Final answer
    x = 18,672.78

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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.