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Finding the Fourth Proportional to 75,745.46, 113,442.78 and 37,725.48

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Solution

The fourth proportional to 75,745.46, 113,442.78 and 37,725.48 is: 56,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,745.46 : 113,442.78 = 37,725.48 : x
  2. Step 2: Convert to fraction form
    75,745.46/113,442.78 = 37,725.48/x
  3. Step 3: Cross multiply
    75,745.46x = 113,442.78 × 37,725.48
  4. Step 4: Simplify right side
    75,745.46x = 4,279,683,257.30
  5. Step 5: Solve for x
    x = 4,279,683,257.30/75,745.46
  6. Step 6: Final answer
    x = 56,500.85

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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.