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Finding the Fourth Proportional to 41,467.56, 62,185.14 and 18,078

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Solution

The fourth proportional to 41,467.56, 62,185.14 and 18,078 is: 27,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,467.56 : 62,185.14 = 18,078 : x
  2. Step 2: Convert to fraction form
    41,467.56/62,185.14 = 18,078/x
  3. Step 3: Cross multiply
    41,467.56x = 62,185.14 × 18,078
  4. Step 4: Simplify right side
    41,467.56x = 1,124,182,960.92
  5. Step 5: Solve for x
    x = 1,124,182,960.92/41,467.56
  6. Step 6: Final answer
    x = 27,109.94

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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.