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Finding the Fourth Proportional to 71,238.56, 106,863.39 and 23,853.83

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Solution

The fourth proportional to 71,238.56, 106,863.39 and 23,853.83 is: 35,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,238.56 : 106,863.39 = 23,853.83 : x
  2. Step 2: Convert to fraction form
    71,238.56/106,863.39 = 23,853.83/x
  3. Step 3: Cross multiply
    71,238.56x = 106,863.39 × 23,853.83
  4. Step 4: Simplify right side
    71,238.56x = 2,549,100,603.97
  5. Step 5: Solve for x
    x = 2,549,100,603.97/71,238.56
  6. Step 6: Final answer
    x = 35,782.60

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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.