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Finding the Fourth Proportional to 38,311.90, 52,860.09 and 22,400.26

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Solution

The fourth proportional to 38,311.90, 52,860.09 and 22,400.26 is: 30,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,311.90 : 52,860.09 = 22,400.26 : x
  2. Step 2: Convert to fraction form
    38,311.90/52,860.09 = 22,400.26/x
  3. Step 3: Cross multiply
    38,311.90x = 52,860.09 × 22,400.26
  4. Step 4: Simplify right side
    38,311.90x = 1,184,079,759.62
  5. Step 5: Solve for x
    x = 1,184,079,759.62/38,311.90
  6. Step 6: Final answer
    x = 30,906.32

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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.