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Finding the Fourth Proportional to 122,598.82, 183,920.10 and 47,759.68

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Solution

The fourth proportional to 122,598.82, 183,920.10 and 47,759.68 is: 71,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,598.82 : 183,920.10 = 47,759.68 : x
  2. Step 2: Convert to fraction form
    122,598.82/183,920.10 = 47,759.68/x
  3. Step 3: Cross multiply
    122,598.82x = 183,920.10 × 47,759.68
  4. Step 4: Simplify right side
    122,598.82x = 8,783,965,121.57
  5. Step 5: Solve for x
    x = 8,783,965,121.57/122,598.82
  6. Step 6: Final answer
    x = 71,648.04

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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.