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Finding the Fourth Proportional to 52,414.29, 78,597.24 and 16,869

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Solution

The fourth proportional to 52,414.29, 78,597.24 and 16,869 is: 25,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,414.29 : 78,597.24 = 16,869 : x
  2. Step 2: Convert to fraction form
    52,414.29/78,597.24 = 16,869/x
  3. Step 3: Cross multiply
    52,414.29x = 78,597.24 × 16,869
  4. Step 4: Simplify right side
    52,414.29x = 1,325,856,841.56
  5. Step 5: Solve for x
    x = 1,325,856,841.56/52,414.29
  6. Step 6: Final answer
    x = 25,295.71

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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.