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Finding the Fourth Proportional to 60,217.64, 83,083.36 and 34,722

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Solution

The fourth proportional to 60,217.64, 83,083.36 and 34,722 is: 47,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,217.64 : 83,083.36 = 34,722 : x
  2. Step 2: Convert to fraction form
    60,217.64/83,083.36 = 34,722/x
  3. Step 3: Cross multiply
    60,217.64x = 83,083.36 × 34,722
  4. Step 4: Simplify right side
    60,217.64x = 2,884,820,425.92
  5. Step 5: Solve for x
    x = 2,884,820,425.92/60,217.64
  6. Step 6: Final answer
    x = 47,906.57

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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.