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Finding the Fourth Proportional to 54,893.62, 82,143.60 and 47,523.43

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Solution

The fourth proportional to 54,893.62, 82,143.60 and 47,523.43 is: 71,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,893.62 : 82,143.60 = 47,523.43 : x
  2. Step 2: Convert to fraction form
    54,893.62/82,143.60 = 47,523.43/x
  3. Step 3: Cross multiply
    54,893.62x = 82,143.60 × 47,523.43
  4. Step 4: Simplify right side
    54,893.62x = 3,903,745,624.55
  5. Step 5: Solve for x
    x = 3,903,745,624.55/54,893.62
  6. Step 6: Final answer
    x = 71,114.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.