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Finding the Fourth Proportional to 57,716.76, 86,578.42 and 16,167

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Solution

The fourth proportional to 57,716.76, 86,578.42 and 16,167 is: 24,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,716.76 : 86,578.42 = 16,167 : x
  2. Step 2: Convert to fraction form
    57,716.76/86,578.42 = 16,167/x
  3. Step 3: Cross multiply
    57,716.76x = 86,578.42 × 16,167
  4. Step 4: Simplify right side
    57,716.76x = 1,399,713,316.14
  5. Step 5: Solve for x
    x = 1,399,713,316.14/57,716.76
  6. Step 6: Final answer
    x = 24,251.42

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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.