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Finding the Fourth Proportional to 29,858.44, 41,203.14 and 17,919.40

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Solution

The fourth proportional to 29,858.44, 41,203.14 and 17,919.40 is: 24,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,858.44 : 41,203.14 = 17,919.40 : x
  2. Step 2: Convert to fraction form
    29,858.44/41,203.14 = 17,919.40/x
  3. Step 3: Cross multiply
    29,858.44x = 41,203.14 × 17,919.40
  4. Step 4: Simplify right side
    29,858.44x = 738,335,546.92
  5. Step 5: Solve for x
    x = 738,335,546.92/29,858.44
  6. Step 6: Final answer
    x = 24,727.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.