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Finding the Fourth Proportional to 47,702.31, 71,469.27 and 28,944.27

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Solution

The fourth proportional to 47,702.31, 71,469.27 and 28,944.27 is: 43,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.31 : 71,469.27 = 28,944.27 : x
  2. Step 2: Convert to fraction form
    47,702.31/71,469.27 = 28,944.27/x
  3. Step 3: Cross multiply
    47,702.31x = 71,469.27 × 28,944.27
  4. Step 4: Simplify right side
    47,702.31x = 2,068,625,847.58
  5. Step 5: Solve for x
    x = 2,068,625,847.58/47,702.31
  6. Step 6: Final answer
    x = 43,365.32

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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.