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Finding the Fourth Proportional to 33,856.74, 50,793.75 and 21,464.82

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Solution

The fourth proportional to 33,856.74, 50,793.75 and 21,464.82 is: 32,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,856.74 : 50,793.75 = 21,464.82 : x
  2. Step 2: Convert to fraction form
    33,856.74/50,793.75 = 21,464.82/x
  3. Step 3: Cross multiply
    33,856.74x = 50,793.75 × 21,464.82
  4. Step 4: Simplify right side
    33,856.74x = 1,090,278,700.88
  5. Step 5: Solve for x
    x = 1,090,278,700.88/33,856.74
  6. Step 6: Final answer
    x = 32,202.71

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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.