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Finding the Fourth Proportional to 76,496.70, 114,745.14 and 23,906.46

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Solution

The fourth proportional to 76,496.70, 114,745.14 and 23,906.46 is: 35,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,496.70 : 114,745.14 = 23,906.46 : x
  2. Step 2: Convert to fraction form
    76,496.70/114,745.14 = 23,906.46/x
  3. Step 3: Cross multiply
    76,496.70x = 114,745.14 × 23,906.46
  4. Step 4: Simplify right side
    76,496.70x = 2,743,150,099.60
  5. Step 5: Solve for x
    x = 2,743,150,099.60/76,496.70
  6. Step 6: Final answer
    x = 35,859.72

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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.