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Finding the Fourth Proportional to 70,016.78, 96,640.62 and 41,717

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Solution

The fourth proportional to 70,016.78, 96,640.62 and 41,717 is: 57,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,016.78 : 96,640.62 = 41,717 : x
  2. Step 2: Convert to fraction form
    70,016.78/96,640.62 = 41,717/x
  3. Step 3: Cross multiply
    70,016.78x = 96,640.62 × 41,717
  4. Step 4: Simplify right side
    70,016.78x = 4,031,556,744.54
  5. Step 5: Solve for x
    x = 4,031,556,744.54/70,016.78
  6. Step 6: Final answer
    x = 57,579.87

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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.