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Finding the Fourth Proportional to 38,003.67, 57,029.99 and 20,485.71

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Solution

The fourth proportional to 38,003.67, 57,029.99 and 20,485.71 is: 30,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,003.67 : 57,029.99 = 20,485.71 : x
  2. Step 2: Convert to fraction form
    38,003.67/57,029.99 = 20,485.71/x
  3. Step 3: Cross multiply
    38,003.67x = 57,029.99 × 20,485.71
  4. Step 4: Simplify right side
    38,003.67x = 1,168,299,734.01
  5. Step 5: Solve for x
    x = 1,168,299,734.01/38,003.67
  6. Step 6: Final answer
    x = 30,741.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.