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Finding the Fourth Proportional to 33,768, 50,652 and 9,144

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Solution

The fourth proportional to 33,768, 50,652 and 9,144 is: 13,716

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,768 : 50,652 = 9,144 : x
  2. Step 2: Convert to fraction form
    33,768/50,652 = 9,144/x
  3. Step 3: Cross multiply
    33,768x = 50,652 × 9,144
  4. Step 4: Simplify right side
    33,768x = 463,161,888
  5. Step 5: Solve for x
    x = 463,161,888/33,768
  6. Step 6: Final answer
    x = 13,716

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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.