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Finding the Fourth Proportional to 36,714, 50,665.32 and 19,947

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Solution

The fourth proportional to 36,714, 50,665.32 and 19,947 is: 27,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,714 : 50,665.32 = 19,947 : x
  2. Step 2: Convert to fraction form
    36,714/50,665.32 = 19,947/x
  3. Step 3: Cross multiply
    36,714x = 50,665.32 × 19,947
  4. Step 4: Simplify right side
    36,714x = 1,010,621,138.04
  5. Step 5: Solve for x
    x = 1,010,621,138.04/36,714
  6. Step 6: Final answer
    x = 27,526.86

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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.