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Finding the Fourth Proportional to 49,596, 68,442.48 and 27,241.44

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Solution

The fourth proportional to 49,596, 68,442.48 and 27,241.44 is: 37,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,596 : 68,442.48 = 27,241.44 : x
  2. Step 2: Convert to fraction form
    49,596/68,442.48 = 27,241.44/x
  3. Step 3: Cross multiply
    49,596x = 68,442.48 × 27,241.44
  4. Step 4: Simplify right side
    49,596x = 1,864,471,712.37
  5. Step 5: Solve for x
    x = 1,864,471,712.37/49,596
  6. Step 6: Final answer
    x = 37,593.19

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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.