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Finding the Fourth Proportional to 74,601.72, 102,949.74 and 41,067

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Solution

The fourth proportional to 74,601.72, 102,949.74 and 41,067 is: 56,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,601.72 : 102,949.74 = 41,067 : x
  2. Step 2: Convert to fraction form
    74,601.72/102,949.74 = 41,067/x
  3. Step 3: Cross multiply
    74,601.72x = 102,949.74 × 41,067
  4. Step 4: Simplify right side
    74,601.72x = 4,227,836,972.58
  5. Step 5: Solve for x
    x = 4,227,836,972.58/74,601.72
  6. Step 6: Final answer
    x = 56,672.11

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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.