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Finding the Fourth Proportional to 38,497.48, 57,745.88 and 12,201.54

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Solution

The fourth proportional to 38,497.48, 57,745.88 and 12,201.54 is: 18,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.48 : 57,745.88 = 12,201.54 : x
  2. Step 2: Convert to fraction form
    38,497.48/57,745.88 = 12,201.54/x
  3. Step 3: Cross multiply
    38,497.48x = 57,745.88 × 12,201.54
  4. Step 4: Simplify right side
    38,497.48x = 704,588,664.66
  5. Step 5: Solve for x
    x = 704,588,664.66/38,497.48
  6. Step 6: Final answer
    x = 18,302.20

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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.