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Finding the Fourth Proportional to 36,738.94, 50,698.31 and 20,823.05

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Solution

The fourth proportional to 36,738.94, 50,698.31 and 20,823.05 is: 28,735.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,738.94 : 50,698.31 = 20,823.05 : x
  2. Step 2: Convert to fraction form
    36,738.94/50,698.31 = 20,823.05/x
  3. Step 3: Cross multiply
    36,738.94x = 50,698.31 × 20,823.05
  4. Step 4: Simplify right side
    36,738.94x = 1,055,693,324.09
  5. Step 5: Solve for x
    x = 1,055,693,324.09/36,738.94
  6. Step 6: Final answer
    x = 28,735.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.