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Finding the Fourth Proportional to 32,205.78, 44,441.21 and 18,778.28

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Solution

The fourth proportional to 32,205.78, 44,441.21 and 18,778.28 is: 25,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.78 : 44,441.21 = 18,778.28 : x
  2. Step 2: Convert to fraction form
    32,205.78/44,441.21 = 18,778.28/x
  3. Step 3: Cross multiply
    32,205.78x = 44,441.21 × 18,778.28
  4. Step 4: Simplify right side
    32,205.78x = 834,529,454.01
  5. Step 5: Solve for x
    x = 834,529,454.01/32,205.78
  6. Step 6: Final answer
    x = 25,912.41

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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.