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Finding the Fourth Proportional to 36,913.08, 50,939.34 and 20,146.20

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Solution

The fourth proportional to 36,913.08, 50,939.34 and 20,146.20 is: 27,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,913.08 : 50,939.34 = 20,146.20 : x
  2. Step 2: Convert to fraction form
    36,913.08/50,939.34 = 20,146.20/x
  3. Step 3: Cross multiply
    36,913.08x = 50,939.34 × 20,146.20
  4. Step 4: Simplify right side
    36,913.08x = 1,026,234,131.51
  5. Step 5: Solve for x
    x = 1,026,234,131.51/36,913.08
  6. Step 6: Final answer
    x = 27,801.37

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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.