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Finding the Fourth Proportional to 49,100.36, 67,758.94 and 27,880.08

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Solution

The fourth proportional to 49,100.36, 67,758.94 and 27,880.08 is: 38,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,100.36 : 67,758.94 = 27,880.08 : x
  2. Step 2: Convert to fraction form
    49,100.36/67,758.94 = 27,880.08/x
  3. Step 3: Cross multiply
    49,100.36x = 67,758.94 × 27,880.08
  4. Step 4: Simplify right side
    49,100.36x = 1,889,124,667.92
  5. Step 5: Solve for x
    x = 1,889,124,667.92/49,100.36
  6. Step 6: Final answer
    x = 38,474.76

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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.