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Finding the Fourth Proportional to 57,049.72, 85,538.13 and 27,408.58

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Solution

The fourth proportional to 57,049.72, 85,538.13 and 27,408.58 is: 41,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,049.72 : 85,538.13 = 27,408.58 : x
  2. Step 2: Convert to fraction form
    57,049.72/85,538.13 = 27,408.58/x
  3. Step 3: Cross multiply
    57,049.72x = 85,538.13 × 27,408.58
  4. Step 4: Simplify right side
    57,049.72x = 2,344,478,679.16
  5. Step 5: Solve for x
    x = 2,344,478,679.16/57,049.72
  6. Step 6: Final answer
    x = 41,095.36

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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.