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Finding the Fourth Proportional to 35,794.43, 49,391.84 and 19,876.71

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Solution

The fourth proportional to 35,794.43, 49,391.84 and 19,876.71 is: 27,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,794.43 : 49,391.84 = 19,876.71 : x
  2. Step 2: Convert to fraction form
    35,794.43/49,391.84 = 19,876.71/x
  3. Step 3: Cross multiply
    35,794.43x = 49,391.84 × 19,876.71
  4. Step 4: Simplify right side
    35,794.43x = 981,747,280.05
  5. Step 5: Solve for x
    x = 981,747,280.05/35,794.43
  6. Step 6: Final answer
    x = 27,427.38

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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.