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Finding the Fourth Proportional to 51,546.89, 77,189.07 and 33,963.41

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Solution

The fourth proportional to 51,546.89, 77,189.07 and 33,963.41 is: 50,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,546.89 : 77,189.07 = 33,963.41 : x
  2. Step 2: Convert to fraction form
    51,546.89/77,189.07 = 33,963.41/x
  3. Step 3: Cross multiply
    51,546.89x = 77,189.07 × 33,963.41
  4. Step 4: Simplify right side
    51,546.89x = 2,621,604,031.93
  5. Step 5: Solve for x
    x = 2,621,604,031.93/51,546.89
  6. Step 6: Final answer
    x = 50,858.63

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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.