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Finding the Fourth Proportional to 38,324.25, 52,879.50 and 22,405.62

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Solution

The fourth proportional to 38,324.25, 52,879.50 and 22,405.62 is: 30,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,324.25 : 52,879.50 = 22,405.62 : x
  2. Step 2: Convert to fraction form
    38,324.25/52,879.50 = 22,405.62/x
  3. Step 3: Cross multiply
    38,324.25x = 52,879.50 × 22,405.62
  4. Step 4: Simplify right side
    38,324.25x = 1,184,797,982.79
  5. Step 5: Solve for x
    x = 1,184,797,982.79/38,324.25
  6. Step 6: Final answer
    x = 30,915.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.