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Finding the Fourth Proportional to 27,784.88, 41,676.04 and 8,063.04

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Solution

The fourth proportional to 27,784.88, 41,676.04 and 8,063.04 is: 12,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.88 : 41,676.04 = 8,063.04 : x
  2. Step 2: Convert to fraction form
    27,784.88/41,676.04 = 8,063.04/x
  3. Step 3: Cross multiply
    27,784.88x = 41,676.04 × 8,063.04
  4. Step 4: Simplify right side
    27,784.88x = 336,035,577.56
  5. Step 5: Solve for x
    x = 336,035,577.56/27,784.88
  6. Step 6: Final answer
    x = 12,094.19

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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.