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Finding the Fourth Proportional to 32,198.49, 48,293.64 and 12,463.56

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Solution

The fourth proportional to 32,198.49, 48,293.64 and 12,463.56 is: 18,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.49 : 48,293.64 = 12,463.56 : x
  2. Step 2: Convert to fraction form
    32,198.49/48,293.64 = 12,463.56/x
  3. Step 3: Cross multiply
    32,198.49x = 48,293.64 × 12,463.56
  4. Step 4: Simplify right side
    32,198.49x = 601,910,679.76
  5. Step 5: Solve for x
    x = 601,910,679.76/32,198.49
  6. Step 6: Final answer
    x = 18,693.75

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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.