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Finding the Fourth Proportional to 32,231.58, 48,319.80 and 12,524.28

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Solution

The fourth proportional to 32,231.58, 48,319.80 and 12,524.28 is: 18,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.58 : 48,319.80 = 12,524.28 : x
  2. Step 2: Convert to fraction form
    32,231.58/48,319.80 = 12,524.28/x
  3. Step 3: Cross multiply
    32,231.58x = 48,319.80 × 12,524.28
  4. Step 4: Simplify right side
    32,231.58x = 605,170,704.74
  5. Step 5: Solve for x
    x = 605,170,704.74/32,231.58
  6. Step 6: Final answer
    x = 18,775.71

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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.