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Finding the Fourth Proportional to 50,193.92, 69,265.41 and 30,062

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Solution

The fourth proportional to 50,193.92, 69,265.41 and 30,062 is: 41,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,193.92 : 69,265.41 = 30,062 : x
  2. Step 2: Convert to fraction form
    50,193.92/69,265.41 = 30,062/x
  3. Step 3: Cross multiply
    50,193.92x = 69,265.41 × 30,062
  4. Step 4: Simplify right side
    50,193.92x = 2,082,256,755.42
  5. Step 5: Solve for x
    x = 2,082,256,755.42/50,193.92
  6. Step 6: Final answer
    x = 41,484.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.