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Finding the Fourth Proportional to 50,716.48, 76,082.96 and 15,648

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Solution

The fourth proportional to 50,716.48, 76,082.96 and 15,648 is: 23,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,716.48 : 76,082.96 = 15,648 : x
  2. Step 2: Convert to fraction form
    50,716.48/76,082.96 = 15,648/x
  3. Step 3: Cross multiply
    50,716.48x = 76,082.96 × 15,648
  4. Step 4: Simplify right side
    50,716.48x = 1,190,546,158.08
  5. Step 5: Solve for x
    x = 1,190,546,158.08/50,716.48
  6. Step 6: Final answer
    x = 23,474.54

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Why These Related Problems?

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