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Finding the Fourth Proportional to 49,667.88, 68,541.67 and 27,311.88

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Solution

The fourth proportional to 49,667.88, 68,541.67 and 27,311.88 is: 37,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,667.88 : 68,541.67 = 27,311.88 : x
  2. Step 2: Convert to fraction form
    49,667.88/68,541.67 = 27,311.88/x
  3. Step 3: Cross multiply
    49,667.88x = 68,541.67 × 27,311.88
  4. Step 4: Simplify right side
    49,667.88x = 1,872,001,866.04
  5. Step 5: Solve for x
    x = 1,872,001,866.04/49,667.88
  6. Step 6: Final answer
    x = 37,690.39

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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.