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Finding the Fourth Proportional to 36,519, 50,396.22 and 19,752

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Solution

The fourth proportional to 36,519, 50,396.22 and 19,752 is: 27,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,519 : 50,396.22 = 19,752 : x
  2. Step 2: Convert to fraction form
    36,519/50,396.22 = 19,752/x
  3. Step 3: Cross multiply
    36,519x = 50,396.22 × 19,752
  4. Step 4: Simplify right side
    36,519x = 995,426,137.44
  5. Step 5: Solve for x
    x = 995,426,137.44/36,519
  6. Step 6: Final answer
    x = 27,257.76

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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.