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Finding the Fourth Proportional to 32,924.88, 49,400.40 and 12,150

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Solution

The fourth proportional to 32,924.88, 49,400.40 and 12,150 is: 18,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924.88 : 49,400.40 = 12,150 : x
  2. Step 2: Convert to fraction form
    32,924.88/49,400.40 = 12,150/x
  3. Step 3: Cross multiply
    32,924.88x = 49,400.40 × 12,150
  4. Step 4: Simplify right side
    32,924.88x = 600,214,860
  5. Step 5: Solve for x
    x = 600,214,860/32,924.88
  6. Step 6: Final answer
    x = 18,229.83

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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.