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Finding the Fourth Proportional to 33,020.60, 49,536.90 and 10,827.80

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Solution

The fourth proportional to 33,020.60, 49,536.90 and 10,827.80 is: 16,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,020.60 : 49,536.90 = 10,827.80 : x
  2. Step 2: Convert to fraction form
    33,020.60/49,536.90 = 10,827.80/x
  3. Step 3: Cross multiply
    33,020.60x = 49,536.90 × 10,827.80
  4. Step 4: Simplify right side
    33,020.60x = 536,375,645.82
  5. Step 5: Solve for x
    x = 536,375,645.82/33,020.60
  6. Step 6: Final answer
    x = 16,243.67

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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.