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Finding the Fourth Proportional to 20,149.50, 30,224.20 and 5,358.40

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Solution

The fourth proportional to 20,149.50, 30,224.20 and 5,358.40 is: 8,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.50 : 30,224.20 = 5,358.40 : x
  2. Step 2: Convert to fraction form
    20,149.50/30,224.20 = 5,358.40/x
  3. Step 3: Cross multiply
    20,149.50x = 30,224.20 × 5,358.40
  4. Step 4: Simplify right side
    20,149.50x = 161,953,353.28
  5. Step 5: Solve for x
    x = 161,953,353.28/20,149.50
  6. Step 6: Final answer
    x = 8,037.59

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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.