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Finding the Fourth Proportional to 36,498, 50,367.24 and 19,731

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Solution

The fourth proportional to 36,498, 50,367.24 and 19,731 is: 27,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,498 : 50,367.24 = 19,731 : x
  2. Step 2: Convert to fraction form
    36,498/50,367.24 = 19,731/x
  3. Step 3: Cross multiply
    36,498x = 50,367.24 × 19,731
  4. Step 4: Simplify right side
    36,498x = 993,796,012.44
  5. Step 5: Solve for x
    x = 993,796,012.44/36,498
  6. Step 6: Final answer
    x = 27,228.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.