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Finding the Fourth Proportional to 32,850.16, 49,274.92 and 8,226.16

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Solution

The fourth proportional to 32,850.16, 49,274.92 and 8,226.16 is: 12,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850.16 : 49,274.92 = 8,226.16 : x
  2. Step 2: Convert to fraction form
    32,850.16/49,274.92 = 8,226.16/x
  3. Step 3: Cross multiply
    32,850.16x = 49,274.92 × 8,226.16
  4. Step 4: Simplify right side
    32,850.16x = 405,343,375.91
  5. Step 5: Solve for x
    x = 405,343,375.91/32,850.16
  6. Step 6: Final answer
    x = 12,339.16

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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.