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Finding the Fourth Proportional to 32,678.94, 49,037.04 and 27,198.66

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Solution

The fourth proportional to 32,678.94, 49,037.04 and 27,198.66 is: 40,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.94 : 49,037.04 = 27,198.66 : x
  2. Step 2: Convert to fraction form
    32,678.94/49,037.04 = 27,198.66/x
  3. Step 3: Cross multiply
    32,678.94x = 49,037.04 × 27,198.66
  4. Step 4: Simplify right side
    32,678.94x = 1,333,741,778.37
  5. Step 5: Solve for x
    x = 1,333,741,778.37/32,678.94
  6. Step 6: Final answer
    x = 40,813.50

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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.