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Finding the Fourth Proportional to 29,129.38, 40,201.85 and 16,209.94

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Solution

The fourth proportional to 29,129.38, 40,201.85 and 16,209.94 is: 22,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,129.38 : 40,201.85 = 16,209.94 : x
  2. Step 2: Convert to fraction form
    29,129.38/40,201.85 = 16,209.94/x
  3. Step 3: Cross multiply
    29,129.38x = 40,201.85 × 16,209.94
  4. Step 4: Simplify right side
    29,129.38x = 651,669,576.39
  5. Step 5: Solve for x
    x = 651,669,576.39/29,129.38
  6. Step 6: Final answer
    x = 22,371.56

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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.