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Finding the Fourth Proportional to 35,843.92, 49,455.57 and 21,694.03

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Solution

The fourth proportional to 35,843.92, 49,455.57 and 21,694.03 is: 29,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,843.92 : 49,455.57 = 21,694.03 : x
  2. Step 2: Convert to fraction form
    35,843.92/49,455.57 = 21,694.03/x
  3. Step 3: Cross multiply
    35,843.92x = 49,455.57 × 21,694.03
  4. Step 4: Simplify right side
    35,843.92x = 1,072,890,619.25
  5. Step 5: Solve for x
    x = 1,072,890,619.25/35,843.92
  6. Step 6: Final answer
    x = 29,932.29

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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.