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Finding the Fourth Proportional to 48,142.98, 72,183.69 and 20,082.39

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Solution

The fourth proportional to 48,142.98, 72,183.69 and 20,082.39 is: 30,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,142.98 : 72,183.69 = 20,082.39 : x
  2. Step 2: Convert to fraction form
    48,142.98/72,183.69 = 20,082.39/x
  3. Step 3: Cross multiply
    48,142.98x = 72,183.69 × 20,082.39
  4. Step 4: Simplify right side
    48,142.98x = 1,449,621,014.22
  5. Step 5: Solve for x
    x = 1,449,621,014.22/48,142.98
  6. Step 6: Final answer
    x = 30,110.75

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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.