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Finding the Fourth Proportional to 32,774, 49,161.18 and 8,150

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Solution

The fourth proportional to 32,774, 49,161.18 and 8,150 is: 12,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774 : 49,161.18 = 8,150 : x
  2. Step 2: Convert to fraction form
    32,774/49,161.18 = 8,150/x
  3. Step 3: Cross multiply
    32,774x = 49,161.18 × 8,150
  4. Step 4: Simplify right side
    32,774x = 400,663,617
  5. Step 5: Solve for x
    x = 400,663,617/32,774
  6. Step 6: Final answer
    x = 12,225.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.