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Finding the Fourth Proportional to 27,835.90, 41,749.80 and 8,112.40

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Solution

The fourth proportional to 27,835.90, 41,749.80 and 8,112.40 is: 12,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.90 : 41,749.80 = 8,112.40 : x
  2. Step 2: Convert to fraction form
    27,835.90/41,749.80 = 8,112.40/x
  3. Step 3: Cross multiply
    27,835.90x = 41,749.80 × 8,112.40
  4. Step 4: Simplify right side
    27,835.90x = 338,691,077.52
  5. Step 5: Solve for x
    x = 338,691,077.52/27,835.90
  6. Step 6: Final answer
    x = 12,167.42

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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.