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Finding the Fourth Proportional to 32,690.20, 49,035.78 and 8,066.20

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Solution

The fourth proportional to 32,690.20, 49,035.78 and 8,066.20 is: 12,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,690.20 : 49,035.78 = 8,066.20 : x
  2. Step 2: Convert to fraction form
    32,690.20/49,035.78 = 8,066.20/x
  3. Step 3: Cross multiply
    32,690.20x = 49,035.78 × 8,066.20
  4. Step 4: Simplify right side
    32,690.20x = 395,532,408.64
  5. Step 5: Solve for x
    x = 395,532,408.64/32,690.20
  6. Step 6: Final answer
    x = 12,099.42

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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.