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Finding the Fourth Proportional to 122,481.54, 183,675.06 and 47,591.82

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Solution

The fourth proportional to 122,481.54, 183,675.06 and 47,591.82 is: 71,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,481.54 : 183,675.06 = 47,591.82 : x
  2. Step 2: Convert to fraction form
    122,481.54/183,675.06 = 47,591.82/x
  3. Step 3: Cross multiply
    122,481.54x = 183,675.06 × 47,591.82
  4. Step 4: Simplify right side
    122,481.54x = 8,741,430,394.01
  5. Step 5: Solve for x
    x = 8,741,430,394.01/122,481.54
  6. Step 6: Final answer
    x = 71,369.37

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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.