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Finding the Fourth Proportional to 33,666, 46,453.60 and 20,234.04

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Solution

The fourth proportional to 33,666, 46,453.60 and 20,234.04 is: 27,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,666 : 46,453.60 = 20,234.04 : x
  2. Step 2: Convert to fraction form
    33,666/46,453.60 = 20,234.04/x
  3. Step 3: Cross multiply
    33,666x = 46,453.60 × 20,234.04
  4. Step 4: Simplify right side
    33,666x = 939,944,000.54
  5. Step 5: Solve for x
    x = 939,944,000.54/33,666
  6. Step 6: Final answer
    x = 27,919.68

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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.