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Finding the Fourth Proportional to 49,200.52, 73,765.02 and 19,609.48

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Solution

The fourth proportional to 49,200.52, 73,765.02 and 19,609.48 is: 29,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,200.52 : 73,765.02 = 19,609.48 : x
  2. Step 2: Convert to fraction form
    49,200.52/73,765.02 = 19,609.48/x
  3. Step 3: Cross multiply
    49,200.52x = 73,765.02 × 19,609.48
  4. Step 4: Simplify right side
    49,200.52x = 1,446,493,684.39
  5. Step 5: Solve for x
    x = 1,446,493,684.39/49,200.52
  6. Step 6: Final answer
    x = 29,399.97

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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.