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Finding the Fourth Proportional to 76,227.40, 114,353.22 and 23,626

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Solution

The fourth proportional to 76,227.40, 114,353.22 and 23,626 is: 35,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,227.40 : 114,353.22 = 23,626 : x
  2. Step 2: Convert to fraction form
    76,227.40/114,353.22 = 23,626/x
  3. Step 3: Cross multiply
    76,227.40x = 114,353.22 × 23,626
  4. Step 4: Simplify right side
    76,227.40x = 2,701,709,175.72
  5. Step 5: Solve for x
    x = 2,701,709,175.72/76,227.40
  6. Step 6: Final answer
    x = 35,442.76

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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.