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Finding the Fourth Proportional to 36,509.23, 50,382.74 and 19,742.23

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Solution

The fourth proportional to 36,509.23, 50,382.74 and 19,742.23 is: 27,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.23 : 50,382.74 = 19,742.23 : x
  2. Step 2: Convert to fraction form
    36,509.23/50,382.74 = 19,742.23/x
  3. Step 3: Cross multiply
    36,509.23x = 50,382.74 × 19,742.23
  4. Step 4: Simplify right side
    36,509.23x = 994,667,641.11
  5. Step 5: Solve for x
    x = 994,667,641.11/36,509.23
  6. Step 6: Final answer
    x = 27,244.28

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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.