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Finding the Fourth Proportional to 49,573, 68,410.74 and 27,217

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Solution

The fourth proportional to 49,573, 68,410.74 and 27,217 is: 37,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,573 : 68,410.74 = 27,217 : x
  2. Step 2: Convert to fraction form
    49,573/68,410.74 = 27,217/x
  3. Step 3: Cross multiply
    49,573x = 68,410.74 × 27,217
  4. Step 4: Simplify right side
    49,573x = 1,861,935,110.58
  5. Step 5: Solve for x
    x = 1,861,935,110.58/49,573
  6. Step 6: Final answer
    x = 37,559.46

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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.