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Finding the Fourth Proportional to 47,354.20, 70,982.70 and 27,622.60

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Solution

The fourth proportional to 47,354.20, 70,982.70 and 27,622.60 is: 41,405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,354.20 : 70,982.70 = 27,622.60 : x
  2. Step 2: Convert to fraction form
    47,354.20/70,982.70 = 27,622.60/x
  3. Step 3: Cross multiply
    47,354.20x = 70,982.70 × 27,622.60
  4. Step 4: Simplify right side
    47,354.20x = 1,960,726,729.02
  5. Step 5: Solve for x
    x = 1,960,726,729.02/47,354.20
  6. Step 6: Final answer
    x = 41,405.55

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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.