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Finding the Fourth Proportional to 33,287, 49,968.90 and 16,905.56

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Solution

The fourth proportional to 33,287, 49,968.90 and 16,905.56 is: 25,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,287 : 49,968.90 = 16,905.56 : x
  2. Step 2: Convert to fraction form
    33,287/49,968.90 = 16,905.56/x
  3. Step 3: Cross multiply
    33,287x = 49,968.90 × 16,905.56
  4. Step 4: Simplify right side
    33,287x = 844,752,237.08
  5. Step 5: Solve for x
    x = 844,752,237.08/33,287
  6. Step 6: Final answer
    x = 25,377.84

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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.