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Finding the Fourth Proportional to 20,627, 30,941.11 and 5,044.63

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Solution

The fourth proportional to 20,627, 30,941.11 and 5,044.63 is: 7,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,627 : 30,941.11 = 5,044.63 : x
  2. Step 2: Convert to fraction form
    20,627/30,941.11 = 5,044.63/x
  3. Step 3: Cross multiply
    20,627x = 30,941.11 × 5,044.63
  4. Step 4: Simplify right side
    20,627x = 156,086,297.03
  5. Step 5: Solve for x
    x = 156,086,297.03/20,627
  6. Step 6: Final answer
    x = 7,567.09

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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.