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Finding the Fourth Proportional to 27,763.80, 41,649.81 and 8,039.89

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Solution

The fourth proportional to 27,763.80, 41,649.81 and 8,039.89 is: 12,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,763.80 : 41,649.81 = 8,039.89 : x
  2. Step 2: Convert to fraction form
    27,763.80/41,649.81 = 8,039.89/x
  3. Step 3: Cross multiply
    27,763.80x = 41,649.81 × 8,039.89
  4. Step 4: Simplify right side
    27,763.80x = 334,859,890.92
  5. Step 5: Solve for x
    x = 334,859,890.92/27,763.80
  6. Step 6: Final answer
    x = 12,061.03

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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.