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Finding the Fourth Proportional to 29,765, 41,074.12 and 16,336.04

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Solution

The fourth proportional to 29,765, 41,074.12 and 16,336.04 is: 22,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765 : 41,074.12 = 16,336.04 : x
  2. Step 2: Convert to fraction form
    29,765/41,074.12 = 16,336.04/x
  3. Step 3: Cross multiply
    29,765x = 41,074.12 × 16,336.04
  4. Step 4: Simplify right side
    29,765x = 670,988,467.28
  5. Step 5: Solve for x
    x = 670,988,467.28/29,765
  6. Step 6: Final answer
    x = 22,542.87

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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.