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Finding the Fourth Proportional to 33,546, 50,320.71 and 8,586.26

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Solution

The fourth proportional to 33,546, 50,320.71 and 8,586.26 is: 12,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,546 : 50,320.71 = 8,586.26 : x
  2. Step 2: Convert to fraction form
    33,546/50,320.71 = 8,586.26/x
  3. Step 3: Cross multiply
    33,546x = 50,320.71 × 8,586.26
  4. Step 4: Simplify right side
    33,546x = 432,066,447.84
  5. Step 5: Solve for x
    x = 432,066,447.84/33,546
  6. Step 6: Final answer
    x = 12,879.82

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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.