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Finding the Fourth Proportional to 77,500, 116,251.08 and 22,096

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Solution

The fourth proportional to 77,500, 116,251.08 and 22,096 is: 33,144.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,500 : 116,251.08 = 22,096 : x
  2. Step 2: Convert to fraction form
    77,500/116,251.08 = 22,096/x
  3. Step 3: Cross multiply
    77,500x = 116,251.08 × 22,096
  4. Step 4: Simplify right side
    77,500x = 2,568,683,863.68
  5. Step 5: Solve for x
    x = 2,568,683,863.68/77,500
  6. Step 6: Final answer
    x = 33,144.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.