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Finding the Fourth Proportional to 38,241.52, 52,770.49 and 22,327.45

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Solution

The fourth proportional to 38,241.52, 52,770.49 and 22,327.45 is: 30,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,241.52 : 52,770.49 = 22,327.45 : x
  2. Step 2: Convert to fraction form
    38,241.52/52,770.49 = 22,327.45/x
  3. Step 3: Cross multiply
    38,241.52x = 52,770.49 × 22,327.45
  4. Step 4: Simplify right side
    38,241.52x = 1,178,230,289.21
  5. Step 5: Solve for x
    x = 1,178,230,289.21/38,241.52
  6. Step 6: Final answer
    x = 30,810.24

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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.