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Finding the Fourth Proportional to 36,119, 49,846.43 and 20,204.52

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Solution

The fourth proportional to 36,119, 49,846.43 and 20,204.52 is: 27,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,119 : 49,846.43 = 20,204.52 : x
  2. Step 2: Convert to fraction form
    36,119/49,846.43 = 20,204.52/x
  3. Step 3: Cross multiply
    36,119x = 49,846.43 × 20,204.52
  4. Step 4: Simplify right side
    36,119x = 1,007,123,191.86
  5. Step 5: Solve for x
    x = 1,007,123,191.86/36,119
  6. Step 6: Final answer
    x = 27,883.47

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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.