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Finding the Fourth Proportional to 70,843.64, 106,239.91 and 23,449.97

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Solution

The fourth proportional to 70,843.64, 106,239.91 and 23,449.97 is: 35,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,843.64 : 106,239.91 = 23,449.97 : x
  2. Step 2: Convert to fraction form
    70,843.64/106,239.91 = 23,449.97/x
  3. Step 3: Cross multiply
    70,843.64x = 106,239.91 × 23,449.97
  4. Step 4: Simplify right side
    70,843.64x = 2,491,322,702.30
  5. Step 5: Solve for x
    x = 2,491,322,702.30/70,843.64
  6. Step 6: Final answer
    x = 35,166.50

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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.