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Finding the Fourth Proportional to 49,968, 68,956.02 and 27,612

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Solution

The fourth proportional to 49,968, 68,956.02 and 27,612 is: 38,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,968 : 68,956.02 = 27,612 : x
  2. Step 2: Convert to fraction form
    49,968/68,956.02 = 27,612/x
  3. Step 3: Cross multiply
    49,968x = 68,956.02 × 27,612
  4. Step 4: Simplify right side
    49,968x = 1,904,013,624.24
  5. Step 5: Solve for x
    x = 1,904,013,624.24/49,968
  6. Step 6: Final answer
    x = 38,104.66

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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.