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Finding the Fourth Proportional to 41,657.18, 62,485.22 and 10,067

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Solution

The fourth proportional to 41,657.18, 62,485.22 and 10,067 is: 15,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,657.18 : 62,485.22 = 10,067 : x
  2. Step 2: Convert to fraction form
    41,657.18/62,485.22 = 10,067/x
  3. Step 3: Cross multiply
    41,657.18x = 62,485.22 × 10,067
  4. Step 4: Simplify right side
    41,657.18x = 629,038,709.74
  5. Step 5: Solve for x
    x = 629,038,709.74/41,657.18
  6. Step 6: Final answer
    x = 15,100.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.