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Finding the Fourth Proportional to 66,944.20, 100,352.24 and 24,813

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Solution

The fourth proportional to 66,944.20, 100,352.24 and 24,813 is: 37,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,944.20 : 100,352.24 = 24,813 : x
  2. Step 2: Convert to fraction form
    66,944.20/100,352.24 = 24,813/x
  3. Step 3: Cross multiply
    66,944.20x = 100,352.24 × 24,813
  4. Step 4: Simplify right side
    66,944.20x = 2,490,040,131.12
  5. Step 5: Solve for x
    x = 2,490,040,131.12/66,944.20
  6. Step 6: Final answer
    x = 37,195.76

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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.