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Finding the Fourth Proportional to 33,781, 50,678.22 and 10,406.44

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Solution

The fourth proportional to 33,781, 50,678.22 and 10,406.44 is: 15,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781 : 50,678.22 = 10,406.44 : x
  2. Step 2: Convert to fraction form
    33,781/50,678.22 = 10,406.44/x
  3. Step 3: Cross multiply
    33,781x = 50,678.22 × 10,406.44
  4. Step 4: Simplify right side
    33,781x = 527,379,855.74
  5. Step 5: Solve for x
    x = 527,379,855.74/33,781
  6. Step 6: Final answer
    x = 15,611.73

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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.