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Finding the Fourth Proportional to 41,674.50, 62,511.75 and 10,509.75

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Solution

The fourth proportional to 41,674.50, 62,511.75 and 10,509.75 is: 15,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,674.50 : 62,511.75 = 10,509.75 : x
  2. Step 2: Convert to fraction form
    41,674.50/62,511.75 = 10,509.75/x
  3. Step 3: Cross multiply
    41,674.50x = 62,511.75 × 10,509.75
  4. Step 4: Simplify right side
    41,674.50x = 656,982,864.56
  5. Step 5: Solve for x
    x = 656,982,864.56/41,674.50
  6. Step 6: Final answer
    x = 15,764.63

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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.