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Finding the Fourth Proportional to 27,567, 41,350.91 and 6,790.50

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Solution

The fourth proportional to 27,567, 41,350.91 and 6,790.50 is: 10,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567 : 41,350.91 = 6,790.50 : x
  2. Step 2: Convert to fraction form
    27,567/41,350.91 = 6,790.50/x
  3. Step 3: Cross multiply
    27,567x = 41,350.91 × 6,790.50
  4. Step 4: Simplify right side
    27,567x = 280,793,320.40
  5. Step 5: Solve for x
    x = 280,793,320.40/27,567
  6. Step 6: Final answer
    x = 10,185.85

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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.