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Finding the Fourth Proportional to 49,469.94, 68,271.84 and 27,952.23

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Solution

The fourth proportional to 49,469.94, 68,271.84 and 27,952.23 is: 38,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,469.94 : 68,271.84 = 27,952.23 : x
  2. Step 2: Convert to fraction form
    49,469.94/68,271.84 = 27,952.23/x
  3. Step 3: Cross multiply
    49,469.94x = 68,271.84 × 27,952.23
  4. Step 4: Simplify right side
    49,469.94x = 1,908,350,174.20
  5. Step 5: Solve for x
    x = 1,908,350,174.20/49,469.94
  6. Step 6: Final answer
    x = 38,575.95

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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.