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Finding the Fourth Proportional to 27,740.31, 41,610.77 and 8,019.04

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Solution

The fourth proportional to 27,740.31, 41,610.77 and 8,019.04 is: 12,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.31 : 41,610.77 = 8,019.04 : x
  2. Step 2: Convert to fraction form
    27,740.31/41,610.77 = 8,019.04/x
  3. Step 3: Cross multiply
    27,740.31x = 41,610.77 × 8,019.04
  4. Step 4: Simplify right side
    27,740.31x = 333,678,429.06
  5. Step 5: Solve for x
    x = 333,678,429.06/27,740.31
  6. Step 6: Final answer
    x = 12,028.65

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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.