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Finding the Fourth Proportional to 47,474.83, 71,227.80 and 19,418.48

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Solution

The fourth proportional to 47,474.83, 71,227.80 and 19,418.48 is: 29,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,474.83 : 71,227.80 = 19,418.48 : x
  2. Step 2: Convert to fraction form
    47,474.83/71,227.80 = 19,418.48/x
  3. Step 3: Cross multiply
    47,474.83x = 71,227.80 × 19,418.48
  4. Step 4: Simplify right side
    47,474.83x = 1,383,135,253.61
  5. Step 5: Solve for x
    x = 1,383,135,253.61/47,474.83
  6. Step 6: Final answer
    x = 29,134.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.