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Finding the Fourth Proportional to 50,856.56, 76,285.57 and 15,794

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Solution

The fourth proportional to 50,856.56, 76,285.57 and 15,794 is: 23,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,856.56 : 76,285.57 = 15,794 : x
  2. Step 2: Convert to fraction form
    50,856.56/76,285.57 = 15,794/x
  3. Step 3: Cross multiply
    50,856.56x = 76,285.57 × 15,794
  4. Step 4: Simplify right side
    50,856.56x = 1,204,854,292.58
  5. Step 5: Solve for x
    x = 1,204,854,292.58/50,856.56
  6. Step 6: Final answer
    x = 23,691.23

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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.