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Finding the Fourth Proportional to 30,286.88, 41,793 and 22,333.40

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Solution

The fourth proportional to 30,286.88, 41,793 and 22,333.40 is: 30,817.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.88 : 41,793 = 22,333.40 : x
  2. Step 2: Convert to fraction form
    30,286.88/41,793 = 22,333.40/x
  3. Step 3: Cross multiply
    30,286.88x = 41,793 × 22,333.40
  4. Step 4: Simplify right side
    30,286.88x = 933,379,786.20
  5. Step 5: Solve for x
    x = 933,379,786.20/30,286.88
  6. Step 6: Final answer
    x = 30,817.96

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