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Finding the Fourth Proportional to 36,302.20, 50,093.46 and 20,383

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Solution

The fourth proportional to 36,302.20, 50,093.46 and 20,383 is: 28,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,302.20 : 50,093.46 = 20,383 : x
  2. Step 2: Convert to fraction form
    36,302.20/50,093.46 = 20,383/x
  3. Step 3: Cross multiply
    36,302.20x = 50,093.46 × 20,383
  4. Step 4: Simplify right side
    36,302.20x = 1,021,054,995.18
  5. Step 5: Solve for x
    x = 1,021,054,995.18/36,302.20
  6. Step 6: Final answer
    x = 28,126.53

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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.