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Finding the Fourth Proportional to 47,930.67, 66,144.20 and 27,799.20

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Solution

The fourth proportional to 47,930.67, 66,144.20 and 27,799.20 is: 38,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,930.67 : 66,144.20 = 27,799.20 : x
  2. Step 2: Convert to fraction form
    47,930.67/66,144.20 = 27,799.20/x
  3. Step 3: Cross multiply
    47,930.67x = 66,144.20 × 27,799.20
  4. Step 4: Simplify right side
    47,930.67x = 1,838,755,705.64
  5. Step 5: Solve for x
    x = 1,838,755,705.64/47,930.67
  6. Step 6: Final answer
    x = 38,362.82

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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.