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Finding the Fourth Proportional to 33,772, 50,664.48 and 15,304

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Solution

The fourth proportional to 33,772, 50,664.48 and 15,304 is: 22,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,772 : 50,664.48 = 15,304 : x
  2. Step 2: Convert to fraction form
    33,772/50,664.48 = 15,304/x
  3. Step 3: Cross multiply
    33,772x = 50,664.48 × 15,304
  4. Step 4: Simplify right side
    33,772x = 775,369,201.92
  5. Step 5: Solve for x
    x = 775,369,201.92/33,772
  6. Step 6: Final answer
    x = 22,958.94

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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.