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Finding the Fourth Proportional to 73,164.92, 109,747.36 and 20,574.41

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Solution

The fourth proportional to 73,164.92, 109,747.36 and 20,574.41 is: 30,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,164.92 : 109,747.36 = 20,574.41 : x
  2. Step 2: Convert to fraction form
    73,164.92/109,747.36 = 20,574.41/x
  3. Step 3: Cross multiply
    73,164.92x = 109,747.36 × 20,574.41
  4. Step 4: Simplify right side
    73,164.92x = 2,257,986,542.31
  5. Step 5: Solve for x
    x = 2,257,986,542.31/73,164.92
  6. Step 6: Final answer
    x = 30,861.60

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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.