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Finding the Fourth Proportional to 48,993.30, 73,498.86 and 32,367.24

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Solution

The fourth proportional to 48,993.30, 73,498.86 and 32,367.24 is: 48,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,993.30 : 73,498.86 = 32,367.24 : x
  2. Step 2: Convert to fraction form
    48,993.30/73,498.86 = 32,367.24/x
  3. Step 3: Cross multiply
    48,993.30x = 73,498.86 × 32,367.24
  4. Step 4: Simplify right side
    48,993.30x = 2,378,955,241.35
  5. Step 5: Solve for x
    x = 2,378,955,241.35/48,993.30
  6. Step 6: Final answer
    x = 48,556.75

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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.