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Finding the Fourth Proportional to 20,051.57, 30,063.69 and 10,171.80

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Solution

The fourth proportional to 20,051.57, 30,063.69 and 10,171.80 is: 15,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.57 : 30,063.69 = 10,171.80 : x
  2. Step 2: Convert to fraction form
    20,051.57/30,063.69 = 10,171.80/x
  3. Step 3: Cross multiply
    20,051.57x = 30,063.69 × 10,171.80
  4. Step 4: Simplify right side
    20,051.57x = 305,801,841.94
  5. Step 5: Solve for x
    x = 305,801,841.94/20,051.57
  6. Step 6: Final answer
    x = 15,250.77

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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.