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Finding the Fourth Proportional to 27,775.43, 41,667.25 and 8,051.42

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Solution

The fourth proportional to 27,775.43, 41,667.25 and 8,051.42 is: 12,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.43 : 41,667.25 = 8,051.42 : x
  2. Step 2: Convert to fraction form
    27,775.43/41,667.25 = 8,051.42/x
  3. Step 3: Cross multiply
    27,775.43x = 41,667.25 × 8,051.42
  4. Step 4: Simplify right side
    27,775.43x = 335,480,530.00
  5. Step 5: Solve for x
    x = 335,480,530.00/27,775.43
  6. Step 6: Final answer
    x = 12,078.32

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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.