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Finding the Fourth Proportional to 82,843.70, 124,244.70 and 23,679.68

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Solution

The fourth proportional to 82,843.70, 124,244.70 and 23,679.68 is: 35,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,843.70 : 124,244.70 = 23,679.68 : x
  2. Step 2: Convert to fraction form
    82,843.70/124,244.70 = 23,679.68/x
  3. Step 3: Cross multiply
    82,843.70x = 124,244.70 × 23,679.68
  4. Step 4: Simplify right side
    82,843.70x = 2,942,074,737.70
  5. Step 5: Solve for x
    x = 2,942,074,737.70/82,843.70
  6. Step 6: Final answer
    x = 35,513.56

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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.