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Finding the Fourth Proportional to 47,093, 64,994.12 and 27,221

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Solution

The fourth proportional to 47,093, 64,994.12 and 27,221 is: 37,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,093 : 64,994.12 = 27,221 : x
  2. Step 2: Convert to fraction form
    47,093/64,994.12 = 27,221/x
  3. Step 3: Cross multiply
    47,093x = 64,994.12 × 27,221
  4. Step 4: Simplify right side
    47,093x = 1,769,204,940.52
  5. Step 5: Solve for x
    x = 1,769,204,940.52/47,093
  6. Step 6: Final answer
    x = 37,568.32

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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.