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Finding the Fourth Proportional to 47,404.92, 71,105.20 and 17,820.48

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Solution

The fourth proportional to 47,404.92, 71,105.20 and 17,820.48 is: 26,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,404.92 : 71,105.20 = 17,820.48 : x
  2. Step 2: Convert to fraction form
    47,404.92/71,105.20 = 17,820.48/x
  3. Step 3: Cross multiply
    47,404.92x = 71,105.20 × 17,820.48
  4. Step 4: Simplify right side
    47,404.92x = 1,267,128,794.50
  5. Step 5: Solve for x
    x = 1,267,128,794.50/47,404.92
  6. Step 6: Final answer
    x = 26,729.90

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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.