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Finding the Fourth Proportional to 29,357, 40,512.66 and 16,109

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Solution

The fourth proportional to 29,357, 40,512.66 and 16,109 is: 22,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,357 : 40,512.66 = 16,109 : x
  2. Step 2: Convert to fraction form
    29,357/40,512.66 = 16,109/x
  3. Step 3: Cross multiply
    29,357x = 40,512.66 × 16,109
  4. Step 4: Simplify right side
    29,357x = 652,618,439.94
  5. Step 5: Solve for x
    x = 652,618,439.94/29,357
  6. Step 6: Final answer
    x = 22,230.42

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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.