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Finding the Fourth Proportional to 83,310.72, 114,896.12 and 59,063.78

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Solution

The fourth proportional to 83,310.72, 114,896.12 and 59,063.78 is: 81,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,310.72 : 114,896.12 = 59,063.78 : x
  2. Step 2: Convert to fraction form
    83,310.72/114,896.12 = 59,063.78/x
  3. Step 3: Cross multiply
    83,310.72x = 114,896.12 × 59,063.78
  4. Step 4: Simplify right side
    83,310.72x = 6,786,198,284.73
  5. Step 5: Solve for x
    x = 6,786,198,284.73/83,310.72
  6. Step 6: Final answer
    x = 81,456.48

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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.