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Finding the Fourth Proportional to 36,100.64, 49,821.36 and 20,184.80

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Solution

The fourth proportional to 36,100.64, 49,821.36 and 20,184.80 is: 27,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,100.64 : 49,821.36 = 20,184.80 : x
  2. Step 2: Convert to fraction form
    36,100.64/49,821.36 = 20,184.80/x
  3. Step 3: Cross multiply
    36,100.64x = 49,821.36 × 20,184.80
  4. Step 4: Simplify right side
    36,100.64x = 1,005,634,187.33
  5. Step 5: Solve for x
    x = 1,005,634,187.33/36,100.64
  6. Step 6: Final answer
    x = 27,856.41

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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.