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Finding the Fourth Proportional to 90,306.56, 135,543.02 and 45,965

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Solution

The fourth proportional to 90,306.56, 135,543.02 and 45,965 is: 68,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,306.56 : 135,543.02 = 45,965 : x
  2. Step 2: Convert to fraction form
    90,306.56/135,543.02 = 45,965/x
  3. Step 3: Cross multiply
    90,306.56x = 135,543.02 × 45,965
  4. Step 4: Simplify right side
    90,306.56x = 6,230,234,914.30
  5. Step 5: Solve for x
    x = 6,230,234,914.30/90,306.56
  6. Step 6: Final answer
    x = 68,989.84

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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.