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Finding the Fourth Proportional to 33,248, 49,872 and 16,832

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Solution

The fourth proportional to 33,248, 49,872 and 16,832 is: 25,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,248 : 49,872 = 16,832 : x
  2. Step 2: Convert to fraction form
    33,248/49,872 = 16,832/x
  3. Step 3: Cross multiply
    33,248x = 49,872 × 16,832
  4. Step 4: Simplify right side
    33,248x = 839,445,504
  5. Step 5: Solve for x
    x = 839,445,504/33,248
  6. Step 6: Final answer
    x = 25,248

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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.