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Finding the Fourth Proportional to 32,144.24, 44,375.12 and 20,214.16

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Solution

The fourth proportional to 32,144.24, 44,375.12 and 20,214.16 is: 27,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.24 : 44,375.12 = 20,214.16 : x
  2. Step 2: Convert to fraction form
    32,144.24/44,375.12 = 20,214.16/x
  3. Step 3: Cross multiply
    32,144.24x = 44,375.12 × 20,214.16
  4. Step 4: Simplify right side
    32,144.24x = 897,005,775.70
  5. Step 5: Solve for x
    x = 897,005,775.70/32,144.24
  6. Step 6: Final answer
    x = 27,905.65

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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.