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Finding the Fourth Proportional to 36,530, 50,411.40 and 19,763

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Solution

The fourth proportional to 36,530, 50,411.40 and 19,763 is: 27,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,530 : 50,411.40 = 19,763 : x
  2. Step 2: Convert to fraction form
    36,530/50,411.40 = 19,763/x
  3. Step 3: Cross multiply
    36,530x = 50,411.40 × 19,763
  4. Step 4: Simplify right side
    36,530x = 996,280,498.20
  5. Step 5: Solve for x
    x = 996,280,498.20/36,530
  6. Step 6: Final answer
    x = 27,272.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.