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Finding the Fourth Proportional to 68,533.30, 102,654.06 and 32,942.44

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Solution

The fourth proportional to 68,533.30, 102,654.06 and 32,942.44 is: 49,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,533.30 : 102,654.06 = 32,942.44 : x
  2. Step 2: Convert to fraction form
    68,533.30/102,654.06 = 32,942.44/x
  3. Step 3: Cross multiply
    68,533.30x = 102,654.06 × 32,942.44
  4. Step 4: Simplify right side
    68,533.30x = 3,381,675,212.31
  5. Step 5: Solve for x
    x = 3,381,675,212.31/68,533.30
  6. Step 6: Final answer
    x = 49,343.53

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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.