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Finding the Fourth Proportional to 33,709.86, 50,560.47 and 10,334.34

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Solution

The fourth proportional to 33,709.86, 50,560.47 and 10,334.34 is: 15,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,709.86 : 50,560.47 = 10,334.34 : x
  2. Step 2: Convert to fraction form
    33,709.86/50,560.47 = 10,334.34/x
  3. Step 3: Cross multiply
    33,709.86x = 50,560.47 × 10,334.34
  4. Step 4: Simplify right side
    33,709.86x = 522,509,087.54
  5. Step 5: Solve for x
    x = 522,509,087.54/33,709.86
  6. Step 6: Final answer
    x = 15,500.19

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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.