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Finding the Fourth Proportional to 57,052.72, 85,542.64 and 27,411.60

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Solution

The fourth proportional to 57,052.72, 85,542.64 and 27,411.60 is: 41,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,052.72 : 85,542.64 = 27,411.60 : x
  2. Step 2: Convert to fraction form
    57,052.72/85,542.64 = 27,411.60/x
  3. Step 3: Cross multiply
    57,052.72x = 85,542.64 × 27,411.60
  4. Step 4: Simplify right side
    57,052.72x = 2,344,860,630.62
  5. Step 5: Solve for x
    x = 2,344,860,630.62/57,052.72
  6. Step 6: Final answer
    x = 41,099.89

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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.