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Finding the Fourth Proportional to 122,882.98, 184,324.30 and 38,650.54

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Solution

The fourth proportional to 122,882.98, 184,324.30 and 38,650.54 is: 57,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,882.98 : 184,324.30 = 38,650.54 : x
  2. Step 2: Convert to fraction form
    122,882.98/184,324.30 = 38,650.54/x
  3. Step 3: Cross multiply
    122,882.98x = 184,324.30 × 38,650.54
  4. Step 4: Simplify right side
    122,882.98x = 7,124,233,730.12
  5. Step 5: Solve for x
    x = 7,124,233,730.12/122,882.98
  6. Step 6: Final answer
    x = 57,975.76

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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.