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Finding the Fourth Proportional to 29,683.20, 44,524.80 and 27,724.80

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Solution

The fourth proportional to 29,683.20, 44,524.80 and 27,724.80 is: 41,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683.20 : 44,524.80 = 27,724.80 : x
  2. Step 2: Convert to fraction form
    29,683.20/44,524.80 = 27,724.80/x
  3. Step 3: Cross multiply
    29,683.20x = 44,524.80 × 27,724.80
  4. Step 4: Simplify right side
    29,683.20x = 1,234,441,175.04
  5. Step 5: Solve for x
    x = 1,234,441,175.04/29,683.20
  6. Step 6: Final answer
    x = 41,587.20

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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.