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Finding the Fourth Proportional to 57,771, 86,656.50 and 16,218

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Solution

The fourth proportional to 57,771, 86,656.50 and 16,218 is: 24,327

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,771 : 86,656.50 = 16,218 : x
  2. Step 2: Convert to fraction form
    57,771/86,656.50 = 16,218/x
  3. Step 3: Cross multiply
    57,771x = 86,656.50 × 16,218
  4. Step 4: Simplify right side
    57,771x = 1,405,395,117
  5. Step 5: Solve for x
    x = 1,405,395,117/57,771
  6. Step 6: Final answer
    x = 24,327

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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.