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Finding the Fourth Proportional to 33,221.50, 49,775.83 and 20,046.17

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Solution

The fourth proportional to 33,221.50, 49,775.83 and 20,046.17 is: 30,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,221.50 : 49,775.83 = 20,046.17 : x
  2. Step 2: Convert to fraction form
    33,221.50/49,775.83 = 20,046.17/x
  3. Step 3: Cross multiply
    33,221.50x = 49,775.83 × 20,046.17
  4. Step 4: Simplify right side
    33,221.50x = 997,814,750.07
  5. Step 5: Solve for x
    x = 997,814,750.07/33,221.50
  6. Step 6: Final answer
    x = 30,035.21

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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.