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Finding the Fourth Proportional to 67,185.38, 100,711.20 and 32,084

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Solution

The fourth proportional to 67,185.38, 100,711.20 and 32,084 is: 48,094.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,185.38 : 100,711.20 = 32,084 : x
  2. Step 2: Convert to fraction form
    67,185.38/100,711.20 = 32,084/x
  3. Step 3: Cross multiply
    67,185.38x = 100,711.20 × 32,084
  4. Step 4: Simplify right side
    67,185.38x = 3,231,218,140.80
  5. Step 5: Solve for x
    x = 3,231,218,140.80/67,185.38
  6. Step 6: Final answer
    x = 48,094.07

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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.