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Finding the Fourth Proportional to 49,251.68, 73,874.48 and 19,648.21

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Solution

The fourth proportional to 49,251.68, 73,874.48 and 19,648.21 is: 29,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,251.68 : 73,874.48 = 19,648.21 : x
  2. Step 2: Convert to fraction form
    49,251.68/73,874.48 = 19,648.21/x
  3. Step 3: Cross multiply
    49,251.68x = 73,874.48 × 19,648.21
  4. Step 4: Simplify right side
    49,251.68x = 1,451,500,927.31
  5. Step 5: Solve for x
    x = 1,451,500,927.31/49,251.68
  6. Step 6: Final answer
    x = 29,471.09

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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.