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Finding the Fourth Proportional to 54,221.70, 81,294.15 and 20,928.90

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Solution

The fourth proportional to 54,221.70, 81,294.15 and 20,928.90 is: 31,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,221.70 : 81,294.15 = 20,928.90 : x
  2. Step 2: Convert to fraction form
    54,221.70/81,294.15 = 20,928.90/x
  3. Step 3: Cross multiply
    54,221.70x = 81,294.15 × 20,928.90
  4. Step 4: Simplify right side
    54,221.70x = 1,701,397,135.94
  5. Step 5: Solve for x
    x = 1,701,397,135.94/54,221.70
  6. Step 6: Final answer
    x = 31,378.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.