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Finding the Fourth Proportional to 38,494.30, 57,749.55 and 12,201.70

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Solution

The fourth proportional to 38,494.30, 57,749.55 and 12,201.70 is: 18,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.30 : 57,749.55 = 12,201.70 : x
  2. Step 2: Convert to fraction form
    38,494.30/57,749.55 = 12,201.70/x
  3. Step 3: Cross multiply
    38,494.30x = 57,749.55 × 12,201.70
  4. Step 4: Simplify right side
    38,494.30x = 704,642,684.24
  5. Step 5: Solve for x
    x = 704,642,684.24/38,494.30
  6. Step 6: Final answer
    x = 18,305.12

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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.