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Finding the Fourth Proportional to 36,979, 51,031.38 and 20,212.36

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Solution

The fourth proportional to 36,979, 51,031.38 and 20,212.36 is: 27,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,979 : 51,031.38 = 20,212.36 : x
  2. Step 2: Convert to fraction form
    36,979/51,031.38 = 20,212.36/x
  3. Step 3: Cross multiply
    36,979x = 51,031.38 × 20,212.36
  4. Step 4: Simplify right side
    36,979x = 1,031,464,623.86
  5. Step 5: Solve for x
    x = 1,031,464,623.86/36,979
  6. Step 6: Final answer
    x = 27,893.25

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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.