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Finding the Fourth Proportional to 90,092.25, 135,149.31 and 27,762.75

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Solution

The fourth proportional to 90,092.25, 135,149.31 and 27,762.75 is: 41,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,092.25 : 135,149.31 = 27,762.75 : x
  2. Step 2: Convert to fraction form
    90,092.25/135,149.31 = 27,762.75/x
  3. Step 3: Cross multiply
    90,092.25x = 135,149.31 × 27,762.75
  4. Step 4: Simplify right side
    90,092.25x = 3,752,116,506.20
  5. Step 5: Solve for x
    x = 3,752,116,506.20/90,092.25
  6. Step 6: Final answer
    x = 41,647.49

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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.