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Finding the Fourth Proportional to 107,182.30, 160,796.49 and 36,112

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Solution

The fourth proportional to 107,182.30, 160,796.49 and 36,112 is: 54,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,182.30 : 160,796.49 = 36,112 : x
  2. Step 2: Convert to fraction form
    107,182.30/160,796.49 = 36,112/x
  3. Step 3: Cross multiply
    107,182.30x = 160,796.49 × 36,112
  4. Step 4: Simplify right side
    107,182.30x = 5,806,682,846.88
  5. Step 5: Solve for x
    x = 5,806,682,846.88/107,182.30
  6. Step 6: Final answer
    x = 54,175.76

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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.