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Finding the Fourth Proportional to 34,196.40, 51,251.40 and 30,481.20

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Solution

The fourth proportional to 34,196.40, 51,251.40 and 30,481.20 is: 45,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196.40 : 51,251.40 = 30,481.20 : x
  2. Step 2: Convert to fraction form
    34,196.40/51,251.40 = 30,481.20/x
  3. Step 3: Cross multiply
    34,196.40x = 51,251.40 × 30,481.20
  4. Step 4: Simplify right side
    34,196.40x = 1,562,204,173.68
  5. Step 5: Solve for x
    x = 1,562,204,173.68/34,196.40
  6. Step 6: Final answer
    x = 45,683.29

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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.