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Finding the Fourth Proportional to 54,758.90, 82,023.15 and 45,542.90

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Solution

The fourth proportional to 54,758.90, 82,023.15 and 45,542.90 is: 68,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,758.90 : 82,023.15 = 45,542.90 : x
  2. Step 2: Convert to fraction form
    54,758.90/82,023.15 = 45,542.90/x
  3. Step 3: Cross multiply
    54,758.90x = 82,023.15 × 45,542.90
  4. Step 4: Simplify right side
    54,758.90x = 3,735,572,118.14
  5. Step 5: Solve for x
    x = 3,735,572,118.14/54,758.90
  6. Step 6: Final answer
    x = 68,218.54

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