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Finding the Fourth Proportional to 74,601, 102,949.38 and 41,067

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Solution

The fourth proportional to 74,601, 102,949.38 and 41,067 is: 56,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,601 : 102,949.38 = 41,067 : x
  2. Step 2: Convert to fraction form
    74,601/102,949.38 = 41,067/x
  3. Step 3: Cross multiply
    74,601x = 102,949.38 × 41,067
  4. Step 4: Simplify right side
    74,601x = 4,227,822,188.46
  5. Step 5: Solve for x
    x = 4,227,822,188.46/74,601
  6. Step 6: Final answer
    x = 56,672.46

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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.