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Finding the Fourth Proportional to 49,676.82, 68,554.47 and 27,016.03

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Solution

The fourth proportional to 49,676.82, 68,554.47 and 27,016.03 is: 37,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,676.82 : 68,554.47 = 27,016.03 : x
  2. Step 2: Convert to fraction form
    49,676.82/68,554.47 = 27,016.03/x
  3. Step 3: Cross multiply
    49,676.82x = 68,554.47 × 27,016.03
  4. Step 4: Simplify right side
    49,676.82x = 1,852,069,275.38
  5. Step 5: Solve for x
    x = 1,852,069,275.38/49,676.82
  6. Step 6: Final answer
    x = 37,282.36

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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.