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Finding the Fourth Proportional to 29,137.88, 40,198.52 and 16,865.22

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Solution

The fourth proportional to 29,137.88, 40,198.52 and 16,865.22 is: 23,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137.88 : 40,198.52 = 16,865.22 : x
  2. Step 2: Convert to fraction form
    29,137.88/40,198.52 = 16,865.22/x
  3. Step 3: Cross multiply
    29,137.88x = 40,198.52 × 16,865.22
  4. Step 4: Simplify right side
    29,137.88x = 677,956,883.47
  5. Step 5: Solve for x
    x = 677,956,883.47/29,137.88
  6. Step 6: Final answer
    x = 23,267.20

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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.