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Finding the Fourth Proportional to 29,882.07, 44,822.97 and 7,693.56

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Solution

The fourth proportional to 29,882.07, 44,822.97 and 7,693.56 is: 11,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,882.07 : 44,822.97 = 7,693.56 : x
  2. Step 2: Convert to fraction form
    29,882.07/44,822.97 = 7,693.56/x
  3. Step 3: Cross multiply
    29,882.07x = 44,822.97 × 7,693.56
  4. Step 4: Simplify right side
    29,882.07x = 344,848,209.07
  5. Step 5: Solve for x
    x = 344,848,209.07/29,882.07
  6. Step 6: Final answer
    x = 11,540.31

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