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Finding the Fourth Proportional to 34,230.05, 51,220.17 and 20,196.80

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Solution

The fourth proportional to 34,230.05, 51,220.17 and 20,196.80 is: 30,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,230.05 : 51,220.17 = 20,196.80 : x
  2. Step 2: Convert to fraction form
    34,230.05/51,220.17 = 20,196.80/x
  3. Step 3: Cross multiply
    34,230.05x = 51,220.17 × 20,196.80
  4. Step 4: Simplify right side
    34,230.05x = 1,034,483,451.90
  5. Step 5: Solve for x
    x = 1,034,483,451.90/34,230.05
  6. Step 6: Final answer
    x = 30,221.50

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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.