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Finding the Fourth Proportional to 38,261.80, 52,805.37 and 22,351.42

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Solution

The fourth proportional to 38,261.80, 52,805.37 and 22,351.42 is: 30,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,261.80 : 52,805.37 = 22,351.42 : x
  2. Step 2: Convert to fraction form
    38,261.80/52,805.37 = 22,351.42/x
  3. Step 3: Cross multiply
    38,261.80x = 52,805.37 × 22,351.42
  4. Step 4: Simplify right side
    38,261.80x = 1,180,275,003.13
  5. Step 5: Solve for x
    x = 1,180,275,003.13/38,261.80
  6. Step 6: Final answer
    x = 30,847.35

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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.