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Finding the Fourth Proportional to 47,902.54, 66,105.52 and 27,771.09

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Solution

The fourth proportional to 47,902.54, 66,105.52 and 27,771.09 is: 38,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,902.54 : 66,105.52 = 27,771.09 : x
  2. Step 2: Convert to fraction form
    47,902.54/66,105.52 = 27,771.09/x
  3. Step 3: Cross multiply
    47,902.54x = 66,105.52 × 27,771.09
  4. Step 4: Simplify right side
    47,902.54x = 1,835,822,275.99
  5. Step 5: Solve for x
    x = 1,835,822,275.99/47,902.54
  6. Step 6: Final answer
    x = 38,324.11

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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.