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Finding the Fourth Proportional to 27,759.63, 41,639.07 and 6,699.50

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Solution

The fourth proportional to 27,759.63, 41,639.07 and 6,699.50 is: 10,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,759.63 : 41,639.07 = 6,699.50 : x
  2. Step 2: Convert to fraction form
    27,759.63/41,639.07 = 6,699.50/x
  3. Step 3: Cross multiply
    27,759.63x = 41,639.07 × 6,699.50
  4. Step 4: Simplify right side
    27,759.63x = 278,960,741.27
  5. Step 5: Solve for x
    x = 278,960,741.27/27,759.63
  6. Step 6: Final answer
    x = 10,049.15

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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.