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Finding the Fourth Proportional to 33,848, 50,772 and 9,224

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Solution

The fourth proportional to 33,848, 50,772 and 9,224 is: 13,836

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,848 : 50,772 = 9,224 : x
  2. Step 2: Convert to fraction form
    33,848/50,772 = 9,224/x
  3. Step 3: Cross multiply
    33,848x = 50,772 × 9,224
  4. Step 4: Simplify right side
    33,848x = 468,320,928
  5. Step 5: Solve for x
    x = 468,320,928/33,848
  6. Step 6: Final answer
    x = 13,836

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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.