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Finding the Fourth Proportional to 57,137.34, 85,673.17 and 30,450.48

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Solution

The fourth proportional to 57,137.34, 85,673.17 and 30,450.48 is: 45,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,137.34 : 85,673.17 = 30,450.48 : x
  2. Step 2: Convert to fraction form
    57,137.34/85,673.17 = 30,450.48/x
  3. Step 3: Cross multiply
    57,137.34x = 85,673.17 × 30,450.48
  4. Step 4: Simplify right side
    57,137.34x = 2,608,789,149.62
  5. Step 5: Solve for x
    x = 2,608,789,149.62/57,137.34
  6. Step 6: Final answer
    x = 45,658.22

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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.