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Finding the Fourth Proportional to 36,546.48, 50,434.36 and 20,194.16

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Solution

The fourth proportional to 36,546.48, 50,434.36 and 20,194.16 is: 27,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546.48 : 50,434.36 = 20,194.16 : x
  2. Step 2: Convert to fraction form
    36,546.48/50,434.36 = 20,194.16/x
  3. Step 3: Cross multiply
    36,546.48x = 50,434.36 × 20,194.16
  4. Step 4: Simplify right side
    36,546.48x = 1,018,479,535.34
  5. Step 5: Solve for x
    x = 1,018,479,535.34/36,546.48
  6. Step 6: Final answer
    x = 27,868.06

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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.