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Finding the Fourth Proportional to 57,138.26, 85,762.67 and 27,576.90

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Solution

The fourth proportional to 57,138.26, 85,762.67 and 27,576.90 is: 41,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,138.26 : 85,762.67 = 27,576.90 : x
  2. Step 2: Convert to fraction form
    57,138.26/85,762.67 = 27,576.90/x
  3. Step 3: Cross multiply
    57,138.26x = 85,762.67 × 27,576.90
  4. Step 4: Simplify right side
    57,138.26x = 2,365,068,436.44
  5. Step 5: Solve for x
    x = 2,365,068,436.44/57,138.26
  6. Step 6: Final answer
    x = 41,392.03

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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.