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Finding the Fourth Proportional to 55,414.52, 76,471.62 and 30,264

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Solution

The fourth proportional to 55,414.52, 76,471.62 and 30,264 is: 41,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,414.52 : 76,471.62 = 30,264 : x
  2. Step 2: Convert to fraction form
    55,414.52/76,471.62 = 30,264/x
  3. Step 3: Cross multiply
    55,414.52x = 76,471.62 × 30,264
  4. Step 4: Simplify right side
    55,414.52x = 2,314,337,107.68
  5. Step 5: Solve for x
    x = 2,314,337,107.68/55,414.52
  6. Step 6: Final answer
    x = 41,764.09

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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.