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Finding the Fourth Proportional to 76,993.50, 106,251.03 and 41,665.50

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Solution

The fourth proportional to 76,993.50, 106,251.03 and 41,665.50 is: 57,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,993.50 : 106,251.03 = 41,665.50 : x
  2. Step 2: Convert to fraction form
    76,993.50/106,251.03 = 41,665.50/x
  3. Step 3: Cross multiply
    76,993.50x = 106,251.03 × 41,665.50
  4. Step 4: Simplify right side
    76,993.50x = 4,427,002,290.47
  5. Step 5: Solve for x
    x = 4,427,002,290.47/76,993.50
  6. Step 6: Final answer
    x = 57,498.39

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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.