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Finding the Fourth Proportional to 33,682.89, 50,524.47 and 10,309.26

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Solution

The fourth proportional to 33,682.89, 50,524.47 and 10,309.26 is: 15,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,682.89 : 50,524.47 = 10,309.26 : x
  2. Step 2: Convert to fraction form
    33,682.89/50,524.47 = 10,309.26/x
  3. Step 3: Cross multiply
    33,682.89x = 50,524.47 × 10,309.26
  4. Step 4: Simplify right side
    33,682.89x = 520,869,897.59
  5. Step 5: Solve for x
    x = 520,869,897.59/33,682.89
  6. Step 6: Final answer
    x = 15,463.93

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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.