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Finding the Fourth Proportional to 37,741.68, 52,083 and 20,974.32

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Solution

The fourth proportional to 37,741.68, 52,083 and 20,974.32 is: 28,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,741.68 : 52,083 = 20,974.32 : x
  2. Step 2: Convert to fraction form
    37,741.68/52,083 = 20,974.32/x
  3. Step 3: Cross multiply
    37,741.68x = 52,083 × 20,974.32
  4. Step 4: Simplify right side
    37,741.68x = 1,092,405,508.56
  5. Step 5: Solve for x
    x = 1,092,405,508.56/37,741.68
  6. Step 6: Final answer
    x = 28,944.27

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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.