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Finding the Fourth Proportional to 27,675.83, 41,509.29 and 7,949.90

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Solution

The fourth proportional to 27,675.83, 41,509.29 and 7,949.90 is: 11,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,675.83 : 41,509.29 = 7,949.90 : x
  2. Step 2: Convert to fraction form
    27,675.83/41,509.29 = 7,949.90/x
  3. Step 3: Cross multiply
    27,675.83x = 41,509.29 × 7,949.90
  4. Step 4: Simplify right side
    27,675.83x = 329,994,704.57
  5. Step 5: Solve for x
    x = 329,994,704.57/27,675.83
  6. Step 6: Final answer
    x = 11,923.57

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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.