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Finding the Fourth Proportional to 33,788.70, 50,708.30 and 12,749.49

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Solution

The fourth proportional to 33,788.70, 50,708.30 and 12,749.49 is: 19,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,788.70 : 50,708.30 = 12,749.49 : x
  2. Step 2: Convert to fraction form
    33,788.70/50,708.30 = 12,749.49/x
  3. Step 3: Cross multiply
    33,788.70x = 50,708.30 × 12,749.49
  4. Step 4: Simplify right side
    33,788.70x = 646,504,900.02
  5. Step 5: Solve for x
    x = 646,504,900.02/33,788.70
  6. Step 6: Final answer
    x = 19,133.76

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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.