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Finding the Fourth Proportional to 71,099.65, 106,680.61 and 33,686.46

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Solution

The fourth proportional to 71,099.65, 106,680.61 and 33,686.46 is: 50,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,099.65 : 106,680.61 = 33,686.46 : x
  2. Step 2: Convert to fraction form
    71,099.65/106,680.61 = 33,686.46/x
  3. Step 3: Cross multiply
    71,099.65x = 106,680.61 × 33,686.46
  4. Step 4: Simplify right side
    71,099.65x = 3,593,691,701.49
  5. Step 5: Solve for x
    x = 3,593,691,701.49/71,099.65
  6. Step 6: Final answer
    x = 50,544.44

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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.