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Finding the Fourth Proportional to 48,794.72, 73,175.68 and 19,204.80

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Solution

The fourth proportional to 48,794.72, 73,175.68 and 19,204.80 is: 28,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,794.72 : 73,175.68 = 19,204.80 : x
  2. Step 2: Convert to fraction form
    48,794.72/73,175.68 = 19,204.80/x
  3. Step 3: Cross multiply
    48,794.72x = 73,175.68 × 19,204.80
  4. Step 4: Simplify right side
    48,794.72x = 1,405,324,299.26
  5. Step 5: Solve for x
    x = 1,405,324,299.26/48,794.72
  6. Step 6: Final answer
    x = 28,800.75

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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.