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Finding the Fourth Proportional to 29,044.29, 43,562.97 and 7,986.47

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Solution

The fourth proportional to 29,044.29, 43,562.97 and 7,986.47 is: 11,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,044.29 : 43,562.97 = 7,986.47 : x
  2. Step 2: Convert to fraction form
    29,044.29/43,562.97 = 7,986.47/x
  3. Step 3: Cross multiply
    29,044.29x = 43,562.97 × 7,986.47
  4. Step 4: Simplify right side
    29,044.29x = 347,914,372.98
  5. Step 5: Solve for x
    x = 347,914,372.98/29,044.29
  6. Step 6: Final answer
    x = 11,978.75

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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.