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Finding the Fourth Proportional to 36,400.36, 54,596.22 and 21,416.44

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Solution

The fourth proportional to 36,400.36, 54,596.22 and 21,416.44 is: 32,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,400.36 : 54,596.22 = 21,416.44 : x
  2. Step 2: Convert to fraction form
    36,400.36/54,596.22 = 21,416.44/x
  3. Step 3: Cross multiply
    36,400.36x = 54,596.22 × 21,416.44
  4. Step 4: Simplify right side
    36,400.36x = 1,169,256,669.86
  5. Step 5: Solve for x
    x = 1,169,256,669.86/36,400.36
  6. Step 6: Final answer
    x = 32,122.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.