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Finding the Fourth Proportional to 37,115.44, 51,219 and 20,119.78

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Solution

The fourth proportional to 37,115.44, 51,219 and 20,119.78 is: 27,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,115.44 : 51,219 = 20,119.78 : x
  2. Step 2: Convert to fraction form
    37,115.44/51,219 = 20,119.78/x
  3. Step 3: Cross multiply
    37,115.44x = 51,219 × 20,119.78
  4. Step 4: Simplify right side
    37,115.44x = 1,030,515,011.82
  5. Step 5: Solve for x
    x = 1,030,515,011.82/37,115.44
  6. Step 6: Final answer
    x = 27,765.13

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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.