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Finding the Fourth Proportional to 32,906.70, 49,364.10 and 11,843.46

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Solution

The fourth proportional to 32,906.70, 49,364.10 and 11,843.46 is: 17,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.70 : 49,364.10 = 11,843.46 : x
  2. Step 2: Convert to fraction form
    32,906.70/49,364.10 = 11,843.46/x
  3. Step 3: Cross multiply
    32,906.70x = 49,364.10 × 11,843.46
  4. Step 4: Simplify right side
    32,906.70x = 584,641,743.79
  5. Step 5: Solve for x
    x = 584,641,743.79/32,906.70
  6. Step 6: Final answer
    x = 17,766.65

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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.