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Finding the Fourth Proportional to 36,176.41, 49,814.96 and 30,197.80

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Solution

The fourth proportional to 36,176.41, 49,814.96 and 30,197.80 is: 41,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,176.41 : 49,814.96 = 30,197.80 : x
  2. Step 2: Convert to fraction form
    36,176.41/49,814.96 = 30,197.80/x
  3. Step 3: Cross multiply
    36,176.41x = 49,814.96 × 30,197.80
  4. Step 4: Simplify right side
    36,176.41x = 1,504,302,199.09
  5. Step 5: Solve for x
    x = 1,504,302,199.09/36,176.41
  6. Step 6: Final answer
    x = 41,582.41

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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.