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Finding the Fourth Proportional to 37,016.47, 51,083.96 and 20,249.47

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Solution

The fourth proportional to 37,016.47, 51,083.96 and 20,249.47 is: 27,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,016.47 : 51,083.96 = 20,249.47 : x
  2. Step 2: Convert to fraction form
    37,016.47/51,083.96 = 20,249.47/x
  3. Step 3: Cross multiply
    37,016.47x = 51,083.96 × 20,249.47
  4. Step 4: Simplify right side
    37,016.47x = 1,034,423,115.50
  5. Step 5: Solve for x
    x = 1,034,423,115.50/37,016.47
  6. Step 6: Final answer
    x = 27,944.94

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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.