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Finding the Fourth Proportional to 83,310.50, 115,021.14 and 51,497.48

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Solution

The fourth proportional to 83,310.50, 115,021.14 and 51,497.48 is: 71,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,310.50 : 115,021.14 = 51,497.48 : x
  2. Step 2: Convert to fraction form
    83,310.50/115,021.14 = 51,497.48/x
  3. Step 3: Cross multiply
    83,310.50x = 115,021.14 × 51,497.48
  4. Step 4: Simplify right side
    83,310.50x = 5,923,298,856.73
  5. Step 5: Solve for x
    x = 5,923,298,856.73/83,310.50
  6. Step 6: Final answer
    x = 71,099.07

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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.