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Finding the Fourth Proportional to 52,269.30, 78,414.89 and 16,249.41

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Solution

The fourth proportional to 52,269.30, 78,414.89 and 16,249.41 is: 24,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,269.30 : 78,414.89 = 16,249.41 : x
  2. Step 2: Convert to fraction form
    52,269.30/78,414.89 = 16,249.41/x
  3. Step 3: Cross multiply
    52,269.30x = 78,414.89 × 16,249.41
  4. Step 4: Simplify right side
    52,269.30x = 1,274,195,616.47
  5. Step 5: Solve for x
    x = 1,274,195,616.47/52,269.30
  6. Step 6: Final answer
    x = 24,377.51

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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.