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Finding the Fourth Proportional to 29,668.85, 40,942.86 and 16,240.05

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Solution

The fourth proportional to 29,668.85, 40,942.86 and 16,240.05 is: 22,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,668.85 : 40,942.86 = 16,240.05 : x
  2. Step 2: Convert to fraction form
    29,668.85/40,942.86 = 16,240.05/x
  3. Step 3: Cross multiply
    29,668.85x = 40,942.86 × 16,240.05
  4. Step 4: Simplify right side
    29,668.85x = 664,914,093.54
  5. Step 5: Solve for x
    x = 664,914,093.54/29,668.85
  6. Step 6: Final answer
    x = 22,411.19

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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.