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Finding the Fourth Proportional to 33,405.89, 50,108.80 and 13,684.48

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Solution

The fourth proportional to 33,405.89, 50,108.80 and 13,684.48 is: 20,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,405.89 : 50,108.80 = 13,684.48 : x
  2. Step 2: Convert to fraction form
    33,405.89/50,108.80 = 13,684.48/x
  3. Step 3: Cross multiply
    33,405.89x = 50,108.80 × 13,684.48
  4. Step 4: Simplify right side
    33,405.89x = 685,712,871.42
  5. Step 5: Solve for x
    x = 685,712,871.42/33,405.89
  6. Step 6: Final answer
    x = 20,526.71

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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.