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Finding the Fourth Proportional to 65,454.96, 90,318 and 36,769.12

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Solution

The fourth proportional to 65,454.96, 90,318 and 36,769.12 is: 50,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,454.96 : 90,318 = 36,769.12 : x
  2. Step 2: Convert to fraction form
    65,454.96/90,318 = 36,769.12/x
  3. Step 3: Cross multiply
    65,454.96x = 90,318 × 36,769.12
  4. Step 4: Simplify right side
    65,454.96x = 3,320,913,380.16
  5. Step 5: Solve for x
    x = 3,320,913,380.16/65,454.96
  6. Step 6: Final answer
    x = 50,735.86

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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.