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Finding the Fourth Proportional to 33,226, 49,839 and 11,338

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Solution

The fourth proportional to 33,226, 49,839 and 11,338 is: 17,007

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,226 : 49,839 = 11,338 : x
  2. Step 2: Convert to fraction form
    33,226/49,839 = 11,338/x
  3. Step 3: Cross multiply
    33,226x = 49,839 × 11,338
  4. Step 4: Simplify right side
    33,226x = 565,074,582
  5. Step 5: Solve for x
    x = 565,074,582/33,226
  6. Step 6: Final answer
    x = 17,007

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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.