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Finding the Fourth Proportional to 52,408.68, 72,408.78 and 36,563.86

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Solution

The fourth proportional to 52,408.68, 72,408.78 and 36,563.86 is: 50,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.68 : 72,408.78 = 36,563.86 : x
  2. Step 2: Convert to fraction form
    52,408.68/72,408.78 = 36,563.86/x
  3. Step 3: Cross multiply
    52,408.68x = 72,408.78 × 36,563.86
  4. Step 4: Simplify right side
    52,408.68x = 2,647,544,494.69
  5. Step 5: Solve for x
    x = 2,647,544,494.69/52,408.68
  6. Step 6: Final answer
    x = 50,517.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.