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Finding the Fourth Proportional to 34,491.31, 51,736.94 and 9,190.83

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Solution

The fourth proportional to 34,491.31, 51,736.94 and 9,190.83 is: 13,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491.31 : 51,736.94 = 9,190.83 : x
  2. Step 2: Convert to fraction form
    34,491.31/51,736.94 = 9,190.83/x
  3. Step 3: Cross multiply
    34,491.31x = 51,736.94 × 9,190.83
  4. Step 4: Simplify right side
    34,491.31x = 475,505,397.44
  5. Step 5: Solve for x
    x = 475,505,397.44/34,491.31
  6. Step 6: Final answer
    x = 13,786.24

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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.