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Finding the Fourth Proportional to 29,725.38, 41,006.90 and 17,786.32

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Solution

The fourth proportional to 29,725.38, 41,006.90 and 17,786.32 is: 24,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,725.38 : 41,006.90 = 17,786.32 : x
  2. Step 2: Convert to fraction form
    29,725.38/41,006.90 = 17,786.32/x
  3. Step 3: Cross multiply
    29,725.38x = 41,006.90 × 17,786.32
  4. Step 4: Simplify right side
    29,725.38x = 729,361,845.61
  5. Step 5: Solve for x
    x = 729,361,845.61/29,725.38
  6. Step 6: Final answer
    x = 24,536.67

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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.