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Finding the Fourth Proportional to 33,713.76, 50,554 and 10,334.56

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Solution

The fourth proportional to 33,713.76, 50,554 and 10,334.56 is: 15,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,713.76 : 50,554 = 10,334.56 : x
  2. Step 2: Convert to fraction form
    33,713.76/50,554 = 10,334.56/x
  3. Step 3: Cross multiply
    33,713.76x = 50,554 × 10,334.56
  4. Step 4: Simplify right side
    33,713.76x = 522,453,346.24
  5. Step 5: Solve for x
    x = 522,453,346.24/33,713.76
  6. Step 6: Final answer
    x = 15,496.74

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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.