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Finding the Fourth Proportional to 32,857.20, 49,285.07 and 9,164.12

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Solution

The fourth proportional to 32,857.20, 49,285.07 and 9,164.12 is: 13,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.20 : 49,285.07 = 9,164.12 : x
  2. Step 2: Convert to fraction form
    32,857.20/49,285.07 = 9,164.12/x
  3. Step 3: Cross multiply
    32,857.20x = 49,285.07 × 9,164.12
  4. Step 4: Simplify right side
    32,857.20x = 451,654,072.17
  5. Step 5: Solve for x
    x = 451,654,072.17/32,857.20
  6. Step 6: Final answer
    x = 13,745.97

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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.