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Finding the Fourth Proportional to 36,567, 54,850.82 and 8,865

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Solution

The fourth proportional to 36,567, 54,850.82 and 8,865 is: 13,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,567 : 54,850.82 = 8,865 : x
  2. Step 2: Convert to fraction form
    36,567/54,850.82 = 8,865/x
  3. Step 3: Cross multiply
    36,567x = 54,850.82 × 8,865
  4. Step 4: Simplify right side
    36,567x = 486,252,519.30
  5. Step 5: Solve for x
    x = 486,252,519.30/36,567
  6. Step 6: Final answer
    x = 13,297.58

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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.