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Finding the Fourth Proportional to 34,717, 52,081.98 and 16,249

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Solution

The fourth proportional to 34,717, 52,081.98 and 16,249 is: 24,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,717 : 52,081.98 = 16,249 : x
  2. Step 2: Convert to fraction form
    34,717/52,081.98 = 16,249/x
  3. Step 3: Cross multiply
    34,717x = 52,081.98 × 16,249
  4. Step 4: Simplify right side
    34,717x = 846,280,093.02
  5. Step 5: Solve for x
    x = 846,280,093.02/34,717
  6. Step 6: Final answer
    x = 24,376.53

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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.