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Finding the Fourth Proportional to 33,816, 50,747.04 and 11,928

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Solution

The fourth proportional to 33,816, 50,747.04 and 11,928 is: 17,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,816 : 50,747.04 = 11,928 : x
  2. Step 2: Convert to fraction form
    33,816/50,747.04 = 11,928/x
  3. Step 3: Cross multiply
    33,816x = 50,747.04 × 11,928
  4. Step 4: Simplify right side
    33,816x = 605,310,693.12
  5. Step 5: Solve for x
    x = 605,310,693.12/33,816
  6. Step 6: Final answer
    x = 17,900.13

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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.