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Finding the Fourth Proportional to 36,794.88, 50,778.24 and 20,880

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Solution

The fourth proportional to 36,794.88, 50,778.24 and 20,880 is: 28,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,794.88 : 50,778.24 = 20,880 : x
  2. Step 2: Convert to fraction form
    36,794.88/50,778.24 = 20,880/x
  3. Step 3: Cross multiply
    36,794.88x = 50,778.24 × 20,880
  4. Step 4: Simplify right side
    36,794.88x = 1,060,249,651.20
  5. Step 5: Solve for x
    x = 1,060,249,651.20/36,794.88
  6. Step 6: Final answer
    x = 28,815.14

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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.