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Finding the Fourth Proportional to 50,760, 76,174.56 and 30,514.32

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Solution

The fourth proportional to 50,760, 76,174.56 and 30,514.32 is: 45,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,760 : 76,174.56 = 30,514.32 : x
  2. Step 2: Convert to fraction form
    50,760/76,174.56 = 30,514.32/x
  3. Step 3: Cross multiply
    50,760x = 76,174.56 × 30,514.32
  4. Step 4: Simplify right side
    50,760x = 2,324,414,899.70
  5. Step 5: Solve for x
    x = 2,324,414,899.70/50,760
  6. Step 6: Final answer
    x = 45,792.26

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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.