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Finding the Fourth Proportional to 33,816.69, 50,729.65 and 14,090.63

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Solution

The fourth proportional to 33,816.69, 50,729.65 and 14,090.63 is: 21,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,816.69 : 50,729.65 = 14,090.63 : x
  2. Step 2: Convert to fraction form
    33,816.69/50,729.65 = 14,090.63/x
  3. Step 3: Cross multiply
    33,816.69x = 50,729.65 × 14,090.63
  4. Step 4: Simplify right side
    33,816.69x = 714,812,439.30
  5. Step 5: Solve for x
    x = 714,812,439.30/33,816.69
  6. Step 6: Final answer
    x = 21,137.86

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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.