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Finding the Fourth Proportional to 36,778.69, 50,758.32 and 21,676.21

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Solution

The fourth proportional to 36,778.69, 50,758.32 and 21,676.21 is: 29,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778.69 : 50,758.32 = 21,676.21 : x
  2. Step 2: Convert to fraction form
    36,778.69/50,758.32 = 21,676.21/x
  3. Step 3: Cross multiply
    36,778.69x = 50,758.32 × 21,676.21
  4. Step 4: Simplify right side
    36,778.69x = 1,100,248,184.65
  5. Step 5: Solve for x
    x = 1,100,248,184.65/36,778.69
  6. Step 6: Final answer
    x = 29,915.38

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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.