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Finding the Fourth Proportional to 36,820, 50,811.60 and 20,054.08

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Solution

The fourth proportional to 36,820, 50,811.60 and 20,054.08 is: 27,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,820 : 50,811.60 = 20,054.08 : x
  2. Step 2: Convert to fraction form
    36,820/50,811.60 = 20,054.08/x
  3. Step 3: Cross multiply
    36,820x = 50,811.60 × 20,054.08
  4. Step 4: Simplify right side
    36,820x = 1,018,979,891.33
  5. Step 5: Solve for x
    x = 1,018,979,891.33/36,820
  6. Step 6: Final answer
    x = 27,674.63

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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.