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Finding the Fourth Proportional to 52,249.57, 78,377.31 and 16,714

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Solution

The fourth proportional to 52,249.57, 78,377.31 and 16,714 is: 25,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,249.57 : 78,377.31 = 16,714 : x
  2. Step 2: Convert to fraction form
    52,249.57/78,377.31 = 16,714/x
  3. Step 3: Cross multiply
    52,249.57x = 78,377.31 × 16,714
  4. Step 4: Simplify right side
    52,249.57x = 1,309,998,359.34
  5. Step 5: Solve for x
    x = 1,309,998,359.34/52,249.57
  6. Step 6: Final answer
    x = 25,071.95

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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.