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Finding the Fourth Proportional to 33,274, 49,900.24 and 11,081.44

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Solution

The fourth proportional to 33,274, 49,900.24 and 11,081.44 is: 16,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,274 : 49,900.24 = 11,081.44 : x
  2. Step 2: Convert to fraction form
    33,274/49,900.24 = 11,081.44/x
  3. Step 3: Cross multiply
    33,274x = 49,900.24 × 11,081.44
  4. Step 4: Simplify right side
    33,274x = 552,966,515.55
  5. Step 5: Solve for x
    x = 552,966,515.55/33,274
  6. Step 6: Final answer
    x = 16,618.58

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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.