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Finding the Fourth Proportional to 27,745.50, 41,610.42 and 9,021.54

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Solution

The fourth proportional to 27,745.50, 41,610.42 and 9,021.54 is: 13,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.50 : 41,610.42 = 9,021.54 : x
  2. Step 2: Convert to fraction form
    27,745.50/41,610.42 = 9,021.54/x
  3. Step 3: Cross multiply
    27,745.50x = 41,610.42 × 9,021.54
  4. Step 4: Simplify right side
    27,745.50x = 375,390,068.45
  5. Step 5: Solve for x
    x = 375,390,068.45/27,745.50
  6. Step 6: Final answer
    x = 13,529.76

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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.