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Finding the Fourth Proportional to 49,923.92, 68,895.24 and 27,567.92

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Solution

The fourth proportional to 49,923.92, 68,895.24 and 27,567.92 is: 38,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,923.92 : 68,895.24 = 27,567.92 : x
  2. Step 2: Convert to fraction form
    49,923.92/68,895.24 = 27,567.92/x
  3. Step 3: Cross multiply
    49,923.92x = 68,895.24 × 27,567.92
  4. Step 4: Simplify right side
    49,923.92x = 1,899,298,464.70
  5. Step 5: Solve for x
    x = 1,899,298,464.70/49,923.92
  6. Step 6: Final answer
    x = 38,043.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.