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Finding the Fourth Proportional to 33,504, 50,256 and 8,880

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Solution

The fourth proportional to 33,504, 50,256 and 8,880 is: 13,320

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,504 : 50,256 = 8,880 : x
  2. Step 2: Convert to fraction form
    33,504/50,256 = 8,880/x
  3. Step 3: Cross multiply
    33,504x = 50,256 × 8,880
  4. Step 4: Simplify right side
    33,504x = 446,273,280
  5. Step 5: Solve for x
    x = 446,273,280/33,504
  6. Step 6: Final answer
    x = 13,320

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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.