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Finding the Fourth Proportional to 47,736.44, 65,815.49 and 29,824.91

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Solution

The fourth proportional to 47,736.44, 65,815.49 and 29,824.91 is: 41,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,736.44 : 65,815.49 = 29,824.91 : x
  2. Step 2: Convert to fraction form
    47,736.44/65,815.49 = 29,824.91/x
  3. Step 3: Cross multiply
    47,736.44x = 65,815.49 × 29,824.91
  4. Step 4: Simplify right side
    47,736.44x = 1,962,940,890.38
  5. Step 5: Solve for x
    x = 1,962,940,890.38/47,736.44
  6. Step 6: Final answer
    x = 41,120.39

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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.