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Finding the Fourth Proportional to 36,193.80, 49,949.49 and 20,283.38

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Solution

The fourth proportional to 36,193.80, 49,949.49 and 20,283.38 is: 27,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,193.80 : 49,949.49 = 20,283.38 : x
  2. Step 2: Convert to fraction form
    36,193.80/49,949.49 = 20,283.38/x
  3. Step 3: Cross multiply
    36,193.80x = 49,949.49 × 20,283.38
  4. Step 4: Simplify right side
    36,193.80x = 1,013,144,486.48
  5. Step 5: Solve for x
    x = 1,013,144,486.48/36,193.80
  6. Step 6: Final answer
    x = 27,992.21

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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.