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Finding the Fourth Proportional to 33,816, 50,724.16 and 11,928

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Solution

The fourth proportional to 33,816, 50,724.16 and 11,928 is: 17,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,816 : 50,724.16 = 11,928 : x
  2. Step 2: Convert to fraction form
    33,816/50,724.16 = 11,928/x
  3. Step 3: Cross multiply
    33,816x = 50,724.16 × 11,928
  4. Step 4: Simplify right side
    33,816x = 605,037,780.48
  5. Step 5: Solve for x
    x = 605,037,780.48/33,816
  6. Step 6: Final answer
    x = 17,892.06

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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.