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Finding the Fourth Proportional to 33,781.75, 46,629.75 and 21,206.50

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Solution

The fourth proportional to 33,781.75, 46,629.75 and 21,206.50 is: 29,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781.75 : 46,629.75 = 21,206.50 : x
  2. Step 2: Convert to fraction form
    33,781.75/46,629.75 = 21,206.50/x
  3. Step 3: Cross multiply
    33,781.75x = 46,629.75 × 21,206.50
  4. Step 4: Simplify right side
    33,781.75x = 988,853,793.38
  5. Step 5: Solve for x
    x = 988,853,793.38/33,781.75
  6. Step 6: Final answer
    x = 29,271.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.