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Finding the Fourth Proportional to 83,912.27, 125,838.41 and 27,742.01

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Solution

The fourth proportional to 83,912.27, 125,838.41 and 27,742.01 is: 41,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,912.27 : 125,838.41 = 27,742.01 : x
  2. Step 2: Convert to fraction form
    83,912.27/125,838.41 = 27,742.01/x
  3. Step 3: Cross multiply
    83,912.27x = 125,838.41 × 27,742.01
  4. Step 4: Simplify right side
    83,912.27x = 3,491,009,660.70
  5. Step 5: Solve for x
    x = 3,491,009,660.70/83,912.27
  6. Step 6: Final answer
    x = 41,603.09

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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.