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Finding the Fourth Proportional to 68,429.88, 102,647.70 and 33,399

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Solution

The fourth proportional to 68,429.88, 102,647.70 and 33,399 is: 50,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,429.88 : 102,647.70 = 33,399 : x
  2. Step 2: Convert to fraction form
    68,429.88/102,647.70 = 33,399/x
  3. Step 3: Cross multiply
    68,429.88x = 102,647.70 × 33,399
  4. Step 4: Simplify right side
    68,429.88x = 3,428,330,532.30
  5. Step 5: Solve for x
    x = 3,428,330,532.30/68,429.88
  6. Step 6: Final answer
    x = 50,099.91

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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.