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Finding the Fourth Proportional to 32,183.36, 44,414.56 and 20,091

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Solution

The fourth proportional to 32,183.36, 44,414.56 and 20,091 is: 27,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,183.36 : 44,414.56 = 20,091 : x
  2. Step 2: Convert to fraction form
    32,183.36/44,414.56 = 20,091/x
  3. Step 3: Cross multiply
    32,183.36x = 44,414.56 × 20,091
  4. Step 4: Simplify right side
    32,183.36x = 892,332,824.51
  5. Step 5: Solve for x
    x = 892,332,824.51/32,183.36
  6. Step 6: Final answer
    x = 27,726.53

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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.