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Finding the Fourth Proportional to 49,373, 68,136.45 and 27,017

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Solution

The fourth proportional to 49,373, 68,136.45 and 27,017 is: 37,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,373 : 68,136.45 = 27,017 : x
  2. Step 2: Convert to fraction form
    49,373/68,136.45 = 27,017/x
  3. Step 3: Cross multiply
    49,373x = 68,136.45 × 27,017
  4. Step 4: Simplify right side
    49,373x = 1,840,842,469.65
  5. Step 5: Solve for x
    x = 1,840,842,469.65/49,373
  6. Step 6: Final answer
    x = 37,284.40

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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.