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Finding the Fourth Proportional to 33,715.76, 50,573.40 and 16,132.40

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Solution

The fourth proportional to 33,715.76, 50,573.40 and 16,132.40 is: 24,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,715.76 : 50,573.40 = 16,132.40 : x
  2. Step 2: Convert to fraction form
    33,715.76/50,573.40 = 16,132.40/x
  3. Step 3: Cross multiply
    33,715.76x = 50,573.40 × 16,132.40
  4. Step 4: Simplify right side
    33,715.76x = 815,870,318.16
  5. Step 5: Solve for x
    x = 815,870,318.16/33,715.76
  6. Step 6: Final answer
    x = 24,198.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.