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Finding the Fourth Proportional to 32,198.42, 48,297.64 and 10,013.20

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Solution

The fourth proportional to 32,198.42, 48,297.64 and 10,013.20 is: 15,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.42 : 48,297.64 = 10,013.20 : x
  2. Step 2: Convert to fraction form
    32,198.42/48,297.64 = 10,013.20/x
  3. Step 3: Cross multiply
    32,198.42x = 48,297.64 × 10,013.20
  4. Step 4: Simplify right side
    32,198.42x = 483,613,928.85
  5. Step 5: Solve for x
    x = 483,613,928.85/32,198.42
  6. Step 6: Final answer
    x = 15,019.80

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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.