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Finding the Fourth Proportional to 33,711.76, 50,551 and 10,332.56

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Solution

The fourth proportional to 33,711.76, 50,551 and 10,332.56 is: 15,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,711.76 : 50,551 = 10,332.56 : x
  2. Step 2: Convert to fraction form
    33,711.76/50,551 = 10,332.56/x
  3. Step 3: Cross multiply
    33,711.76x = 50,551 × 10,332.56
  4. Step 4: Simplify right side
    33,711.76x = 522,321,240.56
  5. Step 5: Solve for x
    x = 522,321,240.56/33,711.76
  6. Step 6: Final answer
    x = 15,493.74

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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.