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Finding the Fourth Proportional to 99,956.14, 149,942.10 and 33,396.50

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Solution

The fourth proportional to 99,956.14, 149,942.10 and 33,396.50 is: 50,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,956.14 : 149,942.10 = 33,396.50 : x
  2. Step 2: Convert to fraction form
    99,956.14/149,942.10 = 33,396.50/x
  3. Step 3: Cross multiply
    99,956.14x = 149,942.10 × 33,396.50
  4. Step 4: Simplify right side
    99,956.14x = 5,007,541,842.74
  5. Step 5: Solve for x
    x = 5,007,541,842.74/99,956.14
  6. Step 6: Final answer
    x = 50,097.39

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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.