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Finding the Fourth Proportional to 29,786.87, 44,691.89 and 13,135.16

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Solution

The fourth proportional to 29,786.87, 44,691.89 and 13,135.16 is: 19,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,786.87 : 44,691.89 = 13,135.16 : x
  2. Step 2: Convert to fraction form
    29,786.87/44,691.89 = 13,135.16/x
  3. Step 3: Cross multiply
    29,786.87x = 44,691.89 × 13,135.16
  4. Step 4: Simplify right side
    29,786.87x = 587,035,171.91
  5. Step 5: Solve for x
    x = 587,035,171.91/29,786.87
  6. Step 6: Final answer
    x = 19,707.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.