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Finding the Fourth Proportional to 49,202.70, 73,694.70 and 38,073.30

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Solution

The fourth proportional to 49,202.70, 73,694.70 and 38,073.30 is: 57,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,202.70 : 73,694.70 = 38,073.30 : x
  2. Step 2: Convert to fraction form
    49,202.70/73,694.70 = 38,073.30/x
  3. Step 3: Cross multiply
    49,202.70x = 73,694.70 × 38,073.30
  4. Step 4: Simplify right side
    49,202.70x = 2,805,800,421.51
  5. Step 5: Solve for x
    x = 2,805,800,421.51/49,202.70
  6. Step 6: Final answer
    x = 57,025.33

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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.