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Finding the Fourth Proportional to 54,758.40, 82,022.40 and 45,542.40

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Solution

The fourth proportional to 54,758.40, 82,022.40 and 45,542.40 is: 68,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,758.40 : 82,022.40 = 45,542.40 : x
  2. Step 2: Convert to fraction form
    54,758.40/82,022.40 = 45,542.40/x
  3. Step 3: Cross multiply
    54,758.40x = 82,022.40 × 45,542.40
  4. Step 4: Simplify right side
    54,758.40x = 3,735,496,949.76
  5. Step 5: Solve for x
    x = 3,735,496,949.76/54,758.40
  6. Step 6: Final answer
    x = 68,217.79

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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.