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Finding the Fourth Proportional to 37,201.11, 51,338.07 and 20,205.42

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Solution

The fourth proportional to 37,201.11, 51,338.07 and 20,205.42 is: 27,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201.11 : 51,338.07 = 20,205.42 : x
  2. Step 2: Convert to fraction form
    37,201.11/51,338.07 = 20,205.42/x
  3. Step 3: Cross multiply
    37,201.11x = 51,338.07 × 20,205.42
  4. Step 4: Simplify right side
    37,201.11x = 1,037,307,266.34
  5. Step 5: Solve for x
    x = 1,037,307,266.34/37,201.11
  6. Step 6: Final answer
    x = 27,883.77

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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.