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Finding the Fourth Proportional to 33,820.50, 50,760.69 and 16,072.98

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Solution

The fourth proportional to 33,820.50, 50,760.69 and 16,072.98 is: 24,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,820.50 : 50,760.69 = 16,072.98 : x
  2. Step 2: Convert to fraction form
    33,820.50/50,760.69 = 16,072.98/x
  3. Step 3: Cross multiply
    33,820.50x = 50,760.69 × 16,072.98
  4. Step 4: Simplify right side
    33,820.50x = 815,875,555.16
  5. Step 5: Solve for x
    x = 815,875,555.16/33,820.50
  6. Step 6: Final answer
    x = 24,123.70

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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.