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Finding the Fourth Proportional to 26,495.75, 39,743.72 and 8,027.75

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Solution

The fourth proportional to 26,495.75, 39,743.72 and 8,027.75 is: 12,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,495.75 : 39,743.72 = 8,027.75 : x
  2. Step 2: Convert to fraction form
    26,495.75/39,743.72 = 8,027.75/x
  3. Step 3: Cross multiply
    26,495.75x = 39,743.72 × 8,027.75
  4. Step 4: Simplify right side
    26,495.75x = 319,052,648.23
  5. Step 5: Solve for x
    x = 319,052,648.23/26,495.75
  6. Step 6: Final answer
    x = 12,041.65

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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.