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Finding the Fourth Proportional to 27,856.54, 41,780.69 and 8,129.80

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Solution

The fourth proportional to 27,856.54, 41,780.69 and 8,129.80 is: 12,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.54 : 41,780.69 = 8,129.80 : x
  2. Step 2: Convert to fraction form
    27,856.54/41,780.69 = 8,129.80/x
  3. Step 3: Cross multiply
    27,856.54x = 41,780.69 × 8,129.80
  4. Step 4: Simplify right side
    27,856.54x = 339,668,653.56
  5. Step 5: Solve for x
    x = 339,668,653.56/27,856.54
  6. Step 6: Final answer
    x = 12,193.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.