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Finding the Fourth Proportional to 54,880.50, 82,233.24 and 35,142.80

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Solution

The fourth proportional to 54,880.50, 82,233.24 and 35,142.80 is: 52,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,880.50 : 82,233.24 = 35,142.80 : x
  2. Step 2: Convert to fraction form
    54,880.50/82,233.24 = 35,142.80/x
  3. Step 3: Cross multiply
    54,880.50x = 82,233.24 × 35,142.80
  4. Step 4: Simplify right side
    54,880.50x = 2,889,906,306.67
  5. Step 5: Solve for x
    x = 2,889,906,306.67/54,880.50
  6. Step 6: Final answer
    x = 52,658.16

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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.