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Finding the Fourth Proportional to 49,143.72, 67,813.38 and 27,918.84

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Solution

The fourth proportional to 49,143.72, 67,813.38 and 27,918.84 is: 38,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,143.72 : 67,813.38 = 27,918.84 : x
  2. Step 2: Convert to fraction form
    49,143.72/67,813.38 = 27,918.84/x
  3. Step 3: Cross multiply
    49,143.72x = 67,813.38 × 27,918.84
  4. Step 4: Simplify right side
    49,143.72x = 1,893,270,906.08
  5. Step 5: Solve for x
    x = 1,893,270,906.08/49,143.72
  6. Step 6: Final answer
    x = 38,525.19

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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.