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Finding the Fourth Proportional to 36,145.82, 49,880.43 and 20,012.20

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Solution

The fourth proportional to 36,145.82, 49,880.43 and 20,012.20 is: 27,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,145.82 : 49,880.43 = 20,012.20 : x
  2. Step 2: Convert to fraction form
    36,145.82/49,880.43 = 20,012.20/x
  3. Step 3: Cross multiply
    36,145.82x = 49,880.43 × 20,012.20
  4. Step 4: Simplify right side
    36,145.82x = 998,216,891.84
  5. Step 5: Solve for x
    x = 998,216,891.84/36,145.82
  6. Step 6: Final answer
    x = 27,616.39

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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.