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Finding the Fourth Proportional to 32,982.75, 49,293.05 and 24,116.75

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Solution

The fourth proportional to 32,982.75, 49,293.05 and 24,116.75 is: 36,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,982.75 : 49,293.05 = 24,116.75 : x
  2. Step 2: Convert to fraction form
    32,982.75/49,293.05 = 24,116.75/x
  3. Step 3: Cross multiply
    32,982.75x = 49,293.05 × 24,116.75
  4. Step 4: Simplify right side
    32,982.75x = 1,188,787,796.54
  5. Step 5: Solve for x
    x = 1,188,787,796.54/32,982.75
  6. Step 6: Final answer
    x = 36,042.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.