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Finding the Fourth Proportional to 36,096.42, 49,814.12 and 19,964.22

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Solution

The fourth proportional to 36,096.42, 49,814.12 and 19,964.22 is: 27,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,096.42 : 49,814.12 = 19,964.22 : x
  2. Step 2: Convert to fraction form
    36,096.42/49,814.12 = 19,964.22/x
  3. Step 3: Cross multiply
    36,096.42x = 49,814.12 × 19,964.22
  4. Step 4: Simplify right side
    36,096.42x = 994,499,913.89
  5. Step 5: Solve for x
    x = 994,499,913.89/36,096.42
  6. Step 6: Final answer
    x = 27,551.20

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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.