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Finding the Fourth Proportional to 32,180.26, 44,408.76 and 18,033.20

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Solution

The fourth proportional to 32,180.26, 44,408.76 and 18,033.20 is: 24,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,180.26 : 44,408.76 = 18,033.20 : x
  2. Step 2: Convert to fraction form
    32,180.26/44,408.76 = 18,033.20/x
  3. Step 3: Cross multiply
    32,180.26x = 44,408.76 × 18,033.20
  4. Step 4: Simplify right side
    32,180.26x = 800,832,050.83
  5. Step 5: Solve for x
    x = 800,832,050.83/32,180.26
  6. Step 6: Final answer
    x = 24,885.82

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