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Finding the Fourth Proportional to 90,185.08, 135,294.63 and 27,841

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Solution

The fourth proportional to 90,185.08, 135,294.63 and 27,841 is: 41,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,185.08 : 135,294.63 = 27,841 : x
  2. Step 2: Convert to fraction form
    90,185.08/135,294.63 = 27,841/x
  3. Step 3: Cross multiply
    90,185.08x = 135,294.63 × 27,841
  4. Step 4: Simplify right side
    90,185.08x = 3,766,737,793.83
  5. Step 5: Solve for x
    x = 3,766,737,793.83/90,185.08
  6. Step 6: Final answer
    x = 41,766.75

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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.