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Finding the Fourth Proportional to 37,201.58, 51,338.56 and 20,205.99

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Solution

The fourth proportional to 37,201.58, 51,338.56 and 20,205.99 is: 27,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201.58 : 51,338.56 = 20,205.99 : x
  2. Step 2: Convert to fraction form
    37,201.58/51,338.56 = 20,205.99/x
  3. Step 3: Cross multiply
    37,201.58x = 51,338.56 × 20,205.99
  4. Step 4: Simplify right side
    37,201.58x = 1,037,346,429.97
  5. Step 5: Solve for x
    x = 1,037,346,429.97/37,201.58
  6. Step 6: Final answer
    x = 27,884.47

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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.