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Finding the Fourth Proportional to 47,984.60, 71,976.90 and 43,391.90

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Solution

The fourth proportional to 47,984.60, 71,976.90 and 43,391.90 is: 65,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,984.60 : 71,976.90 = 43,391.90 : x
  2. Step 2: Convert to fraction form
    47,984.60/71,976.90 = 43,391.90/x
  3. Step 3: Cross multiply
    47,984.60x = 71,976.90 × 43,391.90
  4. Step 4: Simplify right side
    47,984.60x = 3,123,214,447.11
  5. Step 5: Solve for x
    x = 3,123,214,447.11/47,984.60
  6. Step 6: Final answer
    x = 65,087.85

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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.