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Finding the Fourth Proportional to 32,408.38, 44,723.37 and 18,265.78

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Solution

The fourth proportional to 32,408.38, 44,723.37 and 18,265.78 is: 25,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.38 : 44,723.37 = 18,265.78 : x
  2. Step 2: Convert to fraction form
    32,408.38/44,723.37 = 18,265.78/x
  3. Step 3: Cross multiply
    32,408.38x = 44,723.37 × 18,265.78
  4. Step 4: Simplify right side
    32,408.38x = 816,907,237.28
  5. Step 5: Solve for x
    x = 816,907,237.28/32,408.38
  6. Step 6: Final answer
    x = 25,206.67

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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.