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Finding the Fourth Proportional to 54,257.70, 81,398.70 and 20,974.80

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Solution

The fourth proportional to 54,257.70, 81,398.70 and 20,974.80 is: 31,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,257.70 : 81,398.70 = 20,974.80 : x
  2. Step 2: Convert to fraction form
    54,257.70/81,398.70 = 20,974.80/x
  3. Step 3: Cross multiply
    54,257.70x = 81,398.70 × 20,974.80
  4. Step 4: Simplify right side
    54,257.70x = 1,707,321,452.76
  5. Step 5: Solve for x
    x = 1,707,321,452.76/54,257.70
  6. Step 6: Final answer
    x = 31,466.90

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1.5x scale

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.