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Finding the Fourth Proportional to 49,573, 68,411.82 and 27,217

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Solution

The fourth proportional to 49,573, 68,411.82 and 27,217 is: 37,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,573 : 68,411.82 = 27,217 : x
  2. Step 2: Convert to fraction form
    49,573/68,411.82 = 27,217/x
  3. Step 3: Cross multiply
    49,573x = 68,411.82 × 27,217
  4. Step 4: Simplify right side
    49,573x = 1,861,964,504.94
  5. Step 5: Solve for x
    x = 1,861,964,504.94/49,573
  6. Step 6: Final answer
    x = 37,560.05

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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.