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Finding the Fourth Proportional to 33,830.87, 50,738.13 and 14,098.73

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Solution

The fourth proportional to 33,830.87, 50,738.13 and 14,098.73 is: 21,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.87 : 50,738.13 = 14,098.73 : x
  2. Step 2: Convert to fraction form
    33,830.87/50,738.13 = 14,098.73/x
  3. Step 3: Cross multiply
    33,830.87x = 50,738.13 × 14,098.73
  4. Step 4: Simplify right side
    33,830.87x = 715,342,941.88
  5. Step 5: Solve for x
    x = 715,342,941.88/33,830.87
  6. Step 6: Final answer
    x = 21,144.68

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