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Finding the Fourth Proportional to 37,042.82, 51,119 and 20,047

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Solution

The fourth proportional to 37,042.82, 51,119 and 20,047 is: 27,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,042.82 : 51,119 = 20,047 : x
  2. Step 2: Convert to fraction form
    37,042.82/51,119 = 20,047/x
  3. Step 3: Cross multiply
    37,042.82x = 51,119 × 20,047
  4. Step 4: Simplify right side
    37,042.82x = 1,024,782,593
  5. Step 5: Solve for x
    x = 1,024,782,593/37,042.82
  6. Step 6: Final answer
    x = 27,664.81

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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.