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Finding the Fourth Proportional to 65,234.57, 90,023.70 and 36,940.25

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Solution

The fourth proportional to 65,234.57, 90,023.70 and 36,940.25 is: 50,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.57 : 90,023.70 = 36,940.25 : x
  2. Step 2: Convert to fraction form
    65,234.57/90,023.70 = 36,940.25/x
  3. Step 3: Cross multiply
    65,234.57x = 90,023.70 × 36,940.25
  4. Step 4: Simplify right side
    65,234.57x = 3,325,497,983.93
  5. Step 5: Solve for x
    x = 3,325,497,983.93/65,234.57
  6. Step 6: Final answer
    x = 50,977.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.