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Finding the Fourth Proportional to 80,768.40, 121,224.60 and 47,446.80

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Solution

The fourth proportional to 80,768.40, 121,224.60 and 47,446.80 is: 71,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,768.40 : 121,224.60 = 47,446.80 : x
  2. Step 2: Convert to fraction form
    80,768.40/121,224.60 = 47,446.80/x
  3. Step 3: Cross multiply
    80,768.40x = 121,224.60 × 47,446.80
  4. Step 4: Simplify right side
    80,768.40x = 5,751,719,351.28
  5. Step 5: Solve for x
    x = 5,751,719,351.28/80,768.40
  6. Step 6: Final answer
    x = 71,212.50

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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.