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Finding the Fourth Proportional to 33,821, 50,731.66 and 11,933

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Solution

The fourth proportional to 33,821, 50,731.66 and 11,933 is: 17,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,821 : 50,731.66 = 11,933 : x
  2. Step 2: Convert to fraction form
    33,821/50,731.66 = 11,933/x
  3. Step 3: Cross multiply
    33,821x = 50,731.66 × 11,933
  4. Step 4: Simplify right side
    33,821x = 605,380,898.78
  5. Step 5: Solve for x
    x = 605,380,898.78/33,821
  6. Step 6: Final answer
    x = 17,899.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.