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Finding the Fourth Proportional to 35,805.80, 49,414.05 and 19,891.27

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Solution

The fourth proportional to 35,805.80, 49,414.05 and 19,891.27 is: 27,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,805.80 : 49,414.05 = 19,891.27 : x
  2. Step 2: Convert to fraction form
    35,805.80/49,414.05 = 19,891.27/x
  3. Step 3: Cross multiply
    35,805.80x = 49,414.05 × 19,891.27
  4. Step 4: Simplify right side
    35,805.80x = 982,908,272.11
  5. Step 5: Solve for x
    x = 982,908,272.11/35,805.80
  6. Step 6: Final answer
    x = 27,451.09

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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.