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Finding the Fourth Proportional to 32,351.48, 48,532.13 and 10,162.78

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Solution

The fourth proportional to 32,351.48, 48,532.13 and 10,162.78 is: 15,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,351.48 : 48,532.13 = 10,162.78 : x
  2. Step 2: Convert to fraction form
    32,351.48/48,532.13 = 10,162.78/x
  3. Step 3: Cross multiply
    32,351.48x = 48,532.13 × 10,162.78
  4. Step 4: Simplify right side
    32,351.48x = 493,221,187.98
  5. Step 5: Solve for x
    x = 493,221,187.98/32,351.48
  6. Step 6: Final answer
    x = 15,245.71

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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.