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Finding the Fourth Proportional to 36,914.90, 50,945.74 and 30,181.76

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Solution

The fourth proportional to 36,914.90, 50,945.74 and 30,181.76 is: 41,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,914.90 : 50,945.74 = 30,181.76 : x
  2. Step 2: Convert to fraction form
    36,914.90/50,945.74 = 30,181.76/x
  3. Step 3: Cross multiply
    36,914.90x = 50,945.74 × 30,181.76
  4. Step 4: Simplify right side
    36,914.90x = 1,537,632,097.70
  5. Step 5: Solve for x
    x = 1,537,632,097.70/36,914.90
  6. Step 6: Final answer
    x = 41,653.43

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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.