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Finding the Fourth Proportional to 36,509.21, 50,382.70 and 19,742.21

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Solution

The fourth proportional to 36,509.21, 50,382.70 and 19,742.21 is: 27,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.21 : 50,382.70 = 19,742.21 : x
  2. Step 2: Convert to fraction form
    36,509.21/50,382.70 = 19,742.21/x
  3. Step 3: Cross multiply
    36,509.21x = 50,382.70 × 19,742.21
  4. Step 4: Simplify right side
    36,509.21x = 994,665,920.37
  5. Step 5: Solve for x
    x = 994,665,920.37/36,509.21
  6. Step 6: Final answer
    x = 27,244.24

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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.