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Finding the Fourth Proportional to 36,850, 50,853.36 and 20,083.36

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Solution

The fourth proportional to 36,850, 50,853.36 and 20,083.36 is: 27,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,850 : 50,853.36 = 20,083.36 : x
  2. Step 2: Convert to fraction form
    36,850/50,853.36 = 20,083.36/x
  3. Step 3: Cross multiply
    36,850x = 50,853.36 × 20,083.36
  4. Step 4: Simplify right side
    36,850x = 1,021,306,336.09
  5. Step 5: Solve for x
    x = 1,021,306,336.09/36,850
  6. Step 6: Final answer
    x = 27,715.23

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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.