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Finding the Fourth Proportional to 27,852.97, 41,783.37 and 8,132.98

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Solution

The fourth proportional to 27,852.97, 41,783.37 and 8,132.98 is: 12,200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.97 : 41,783.37 = 8,132.98 : x
  2. Step 2: Convert to fraction form
    27,852.97/41,783.37 = 8,132.98/x
  3. Step 3: Cross multiply
    27,852.97x = 41,783.37 × 8,132.98
  4. Step 4: Simplify right side
    27,852.97x = 339,823,312.54
  5. Step 5: Solve for x
    x = 339,823,312.54/27,852.97
  6. Step 6: Final answer
    x = 12,200.61

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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.