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Finding the Fourth Proportional to 32,684.92, 49,046.06 and 27,204.68

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Solution

The fourth proportional to 32,684.92, 49,046.06 and 27,204.68 is: 40,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,684.92 : 49,046.06 = 27,204.68 : x
  2. Step 2: Convert to fraction form
    32,684.92/49,046.06 = 27,204.68/x
  3. Step 3: Cross multiply
    32,684.92x = 49,046.06 × 27,204.68
  4. Step 4: Simplify right side
    32,684.92x = 1,334,282,367.56
  5. Step 5: Solve for x
    x = 1,334,282,367.56/32,684.92
  6. Step 6: Final answer
    x = 40,822.57

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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.