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Finding the Fourth Proportional to 32,138.78, 44,346.24 and 20,193.66

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Solution

The fourth proportional to 32,138.78, 44,346.24 and 20,193.66 is: 27,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.78 : 44,346.24 = 20,193.66 : x
  2. Step 2: Convert to fraction form
    32,138.78/44,346.24 = 20,193.66/x
  3. Step 3: Cross multiply
    32,138.78x = 44,346.24 × 20,193.66
  4. Step 4: Simplify right side
    32,138.78x = 895,512,892.84
  5. Step 5: Solve for x
    x = 895,512,892.84/32,138.78
  6. Step 6: Final answer
    x = 27,863.93

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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.