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Finding the Fourth Proportional to 32,944.66, 49,417.09 and 7,984.61

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Solution

The fourth proportional to 32,944.66, 49,417.09 and 7,984.61 is: 11,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,944.66 : 49,417.09 = 7,984.61 : x
  2. Step 2: Convert to fraction form
    32,944.66/49,417.09 = 7,984.61/x
  3. Step 3: Cross multiply
    32,944.66x = 49,417.09 × 7,984.61
  4. Step 4: Simplify right side
    32,944.66x = 394,576,109.25
  5. Step 5: Solve for x
    x = 394,576,109.25/32,944.66
  6. Step 6: Final answer
    x = 11,976.94

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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.