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Finding the Fourth Proportional to 47,101.30, 70,542.60 and 32,229.70

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Solution

The fourth proportional to 47,101.30, 70,542.60 and 32,229.70 is: 48,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,101.30 : 70,542.60 = 32,229.70 : x
  2. Step 2: Convert to fraction form
    47,101.30/70,542.60 = 32,229.70/x
  3. Step 3: Cross multiply
    47,101.30x = 70,542.60 × 32,229.70
  4. Step 4: Simplify right side
    47,101.30x = 2,273,566,835.22
  5. Step 5: Solve for x
    x = 2,273,566,835.22/47,101.30
  6. Step 6: Final answer
    x = 48,269.73

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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.