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Finding the Fourth Proportional to 27,268.98, 37,649.80 and 20,099.76

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Solution

The fourth proportional to 27,268.98, 37,649.80 and 20,099.76 is: 27,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,268.98 : 37,649.80 = 20,099.76 : x
  2. Step 2: Convert to fraction form
    27,268.98/37,649.80 = 20,099.76/x
  3. Step 3: Cross multiply
    27,268.98x = 37,649.80 × 20,099.76
  4. Step 4: Simplify right side
    27,268.98x = 756,751,944.05
  5. Step 5: Solve for x
    x = 756,751,944.05/27,268.98
  6. Step 6: Final answer
    x = 27,751.38

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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.