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Finding the Fourth Proportional to 36,795, 50,777.28 and 20,028

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Solution

The fourth proportional to 36,795, 50,777.28 and 20,028 is: 27,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,795 : 50,777.28 = 20,028 : x
  2. Step 2: Convert to fraction form
    36,795/50,777.28 = 20,028/x
  3. Step 3: Cross multiply
    36,795x = 50,777.28 × 20,028
  4. Step 4: Simplify right side
    36,795x = 1,016,967,363.84
  5. Step 5: Solve for x
    x = 1,016,967,363.84/36,795
  6. Step 6: Final answer
    x = 27,638.74

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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.