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Finding the Fourth Proportional to 60,847, 83,968.86 and 34,351

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Solution

The fourth proportional to 60,847, 83,968.86 and 34,351 is: 47,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,847 : 83,968.86 = 34,351 : x
  2. Step 2: Convert to fraction form
    60,847/83,968.86 = 34,351/x
  3. Step 3: Cross multiply
    60,847x = 83,968.86 × 34,351
  4. Step 4: Simplify right side
    60,847x = 2,884,414,309.86
  5. Step 5: Solve for x
    x = 2,884,414,309.86/60,847
  6. Step 6: Final answer
    x = 47,404.38

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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.