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Finding the Fourth Proportional to 32,936.74, 49,405.24 and 7,976.75

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Solution

The fourth proportional to 32,936.74, 49,405.24 and 7,976.75 is: 11,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,936.74 : 49,405.24 = 7,976.75 : x
  2. Step 2: Convert to fraction form
    32,936.74/49,405.24 = 7,976.75/x
  3. Step 3: Cross multiply
    32,936.74x = 49,405.24 × 7,976.75
  4. Step 4: Simplify right side
    32,936.74x = 394,093,248.17
  5. Step 5: Solve for x
    x = 394,093,248.17/32,936.74
  6. Step 6: Final answer
    x = 11,965.16

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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.