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Finding the Fourth Proportional to 32,936.13, 49,404.31 and 7,976.14

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Solution

The fourth proportional to 32,936.13, 49,404.31 and 7,976.14 is: 11,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,936.13 : 49,404.31 = 7,976.14 : x
  2. Step 2: Convert to fraction form
    32,936.13/49,404.31 = 7,976.14/x
  3. Step 3: Cross multiply
    32,936.13x = 49,404.31 × 7,976.14
  4. Step 4: Simplify right side
    32,936.13x = 394,055,549.71
  5. Step 5: Solve for x
    x = 394,055,549.71/32,936.13
  6. Step 6: Final answer
    x = 11,964.23

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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.