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Finding the Fourth Proportional to 36,509.34, 50,382.87 and 19,742.34

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Solution

The fourth proportional to 36,509.34, 50,382.87 and 19,742.34 is: 27,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.34 : 50,382.87 = 19,742.34 : x
  2. Step 2: Convert to fraction form
    36,509.34/50,382.87 = 19,742.34/x
  3. Step 3: Cross multiply
    36,509.34x = 50,382.87 × 19,742.34
  4. Step 4: Simplify right side
    36,509.34x = 994,675,749.72
  5. Step 5: Solve for x
    x = 994,675,749.72/36,509.34
  6. Step 6: Final answer
    x = 27,244.42

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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.