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Finding the Fourth Proportional to 32,199.62, 48,293.96 and 8,507.42

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Solution

The fourth proportional to 32,199.62, 48,293.96 and 8,507.42 is: 12,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,199.62 : 48,293.96 = 8,507.42 : x
  2. Step 2: Convert to fraction form
    32,199.62/48,293.96 = 8,507.42/x
  3. Step 3: Cross multiply
    32,199.62x = 48,293.96 × 8,507.42
  4. Step 4: Simplify right side
    32,199.62x = 410,857,217.79
  5. Step 5: Solve for x
    x = 410,857,217.79/32,199.62
  6. Step 6: Final answer
    x = 12,759.69

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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.