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Finding the Fourth Proportional to 49,691, 68,575.02 and 27,335

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Solution

The fourth proportional to 49,691, 68,575.02 and 27,335 is: 37,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,691 : 68,575.02 = 27,335 : x
  2. Step 2: Convert to fraction form
    49,691/68,575.02 = 27,335/x
  3. Step 3: Cross multiply
    49,691x = 68,575.02 × 27,335
  4. Step 4: Simplify right side
    49,691x = 1,874,498,171.70
  5. Step 5: Solve for x
    x = 1,874,498,171.70/49,691
  6. Step 6: Final answer
    x = 37,723.09

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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.