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Finding the Fourth Proportional to 33,715.78, 50,596.21 and 13,994.34

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Solution

The fourth proportional to 33,715.78, 50,596.21 and 13,994.34 is: 21,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,715.78 : 50,596.21 = 13,994.34 : x
  2. Step 2: Convert to fraction form
    33,715.78/50,596.21 = 13,994.34/x
  3. Step 3: Cross multiply
    33,715.78x = 50,596.21 × 13,994.34
  4. Step 4: Simplify right side
    33,715.78x = 708,060,393.21
  5. Step 5: Solve for x
    x = 708,060,393.21/33,715.78
  6. Step 6: Final answer
    x = 21,000.86

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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.