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Finding the Fourth Proportional to 38,542.98, 57,813.57 and 17,766.48

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Solution

The fourth proportional to 38,542.98, 57,813.57 and 17,766.48 is: 26,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542.98 : 57,813.57 = 17,766.48 : x
  2. Step 2: Convert to fraction form
    38,542.98/57,813.57 = 17,766.48/x
  3. Step 3: Cross multiply
    38,542.98x = 57,813.57 × 17,766.48
  4. Step 4: Simplify right side
    38,542.98x = 1,027,143,635.13
  5. Step 5: Solve for x
    x = 1,027,143,635.13/38,542.98
  6. Step 6: Final answer
    x = 26,649.31

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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.