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Finding the Fourth Proportional to 27,425.75, 41,138.85 and 6,649.25

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Solution

The fourth proportional to 27,425.75, 41,138.85 and 6,649.25 is: 9,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425.75 : 41,138.85 = 6,649.25 : x
  2. Step 2: Convert to fraction form
    27,425.75/41,138.85 = 6,649.25/x
  3. Step 3: Cross multiply
    27,425.75x = 41,138.85 × 6,649.25
  4. Step 4: Simplify right side
    27,425.75x = 273,542,498.36
  5. Step 5: Solve for x
    x = 273,542,498.36/27,425.75
  6. Step 6: Final answer
    x = 9,973.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.