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Finding the Fourth Proportional to 42,771, 64,183.24 and 20,586.72

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Solution

The fourth proportional to 42,771, 64,183.24 and 20,586.72 is: 30,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,771 : 64,183.24 = 20,586.72 : x
  2. Step 2: Convert to fraction form
    42,771/64,183.24 = 20,586.72/x
  3. Step 3: Cross multiply
    42,771x = 64,183.24 × 20,586.72
  4. Step 4: Simplify right side
    42,771x = 1,321,322,390.57
  5. Step 5: Solve for x
    x = 1,321,322,390.57/42,771
  6. Step 6: Final answer
    x = 30,892.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.