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Finding the Fourth Proportional to 29,445, 40,634.10 and 16,197

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Solution

The fourth proportional to 29,445, 40,634.10 and 16,197 is: 22,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,445 : 40,634.10 = 16,197 : x
  2. Step 2: Convert to fraction form
    29,445/40,634.10 = 16,197/x
  3. Step 3: Cross multiply
    29,445x = 40,634.10 × 16,197
  4. Step 4: Simplify right side
    29,445x = 658,150,517.70
  5. Step 5: Solve for x
    x = 658,150,517.70/29,445
  6. Step 6: Final answer
    x = 22,351.86

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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.