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Finding the Fourth Proportional to 29,609, 40,860.42 and 16,361

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Solution

The fourth proportional to 29,609, 40,860.42 and 16,361 is: 22,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,609 : 40,860.42 = 16,361 : x
  2. Step 2: Convert to fraction form
    29,609/40,860.42 = 16,361/x
  3. Step 3: Cross multiply
    29,609x = 40,860.42 × 16,361
  4. Step 4: Simplify right side
    29,609x = 668,517,331.62
  5. Step 5: Solve for x
    x = 668,517,331.62/29,609
  6. Step 6: Final answer
    x = 22,578.18

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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.