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Finding the Fourth Proportional to 32,329.45, 48,494.23 and 10,144.53

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Solution

The fourth proportional to 32,329.45, 48,494.23 and 10,144.53 is: 15,216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,329.45 : 48,494.23 = 10,144.53 : x
  2. Step 2: Convert to fraction form
    32,329.45/48,494.23 = 10,144.53/x
  3. Step 3: Cross multiply
    32,329.45x = 48,494.23 × 10,144.53
  4. Step 4: Simplify right side
    32,329.45x = 491,951,171.06
  5. Step 5: Solve for x
    x = 491,951,171.06/32,329.45
  6. Step 6: Final answer
    x = 15,216.81

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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.