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Finding the Fourth Proportional to 35,770.38, 49,354.24 and 19,850.84

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Solution

The fourth proportional to 35,770.38, 49,354.24 and 19,850.84 is: 27,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.38 : 49,354.24 = 19,850.84 : x
  2. Step 2: Convert to fraction form
    35,770.38/49,354.24 = 19,850.84/x
  3. Step 3: Cross multiply
    35,770.38x = 49,354.24 × 19,850.84
  4. Step 4: Simplify right side
    35,770.38x = 979,723,121.56
  5. Step 5: Solve for x
    x = 979,723,121.56/35,770.38
  6. Step 6: Final answer
    x = 27,389.23

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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.