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Finding the Fourth Proportional to 36,644, 50,568.74 and 19,877

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Solution

The fourth proportional to 36,644, 50,568.74 and 19,877 is: 27,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,644 : 50,568.74 = 19,877 : x
  2. Step 2: Convert to fraction form
    36,644/50,568.74 = 19,877/x
  3. Step 3: Cross multiply
    36,644x = 50,568.74 × 19,877
  4. Step 4: Simplify right side
    36,644x = 1,005,154,844.98
  5. Step 5: Solve for x
    x = 1,005,154,844.98/36,644
  6. Step 6: Final answer
    x = 27,430.27

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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.