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Finding the Fourth Proportional to 47,646.50, 71,469.75 and 32,638.82

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Solution

The fourth proportional to 47,646.50, 71,469.75 and 32,638.82 is: 48,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,646.50 : 71,469.75 = 32,638.82 : x
  2. Step 2: Convert to fraction form
    47,646.50/71,469.75 = 32,638.82/x
  3. Step 3: Cross multiply
    47,646.50x = 71,469.75 × 32,638.82
  4. Step 4: Simplify right side
    47,646.50x = 2,332,688,305.70
  5. Step 5: Solve for x
    x = 2,332,688,305.70/47,646.50
  6. Step 6: Final answer
    x = 48,958.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.