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Finding the Fourth Proportional to 49,886.82, 68,844.70 and 27,226.02

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Solution

The fourth proportional to 49,886.82, 68,844.70 and 27,226.02 is: 37,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,886.82 : 68,844.70 = 27,226.02 : x
  2. Step 2: Convert to fraction form
    49,886.82/68,844.70 = 27,226.02/x
  3. Step 3: Cross multiply
    49,886.82x = 68,844.70 × 27,226.02
  4. Step 4: Simplify right side
    49,886.82x = 1,874,367,179.09
  5. Step 5: Solve for x
    x = 1,874,367,179.09/49,886.82
  6. Step 6: Final answer
    x = 37,572.39

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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.