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Finding the Fourth Proportional to 34,199.76, 47,185.38 and 33,072.24

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Solution

The fourth proportional to 34,199.76, 47,185.38 and 33,072.24 is: 45,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,199.76 : 47,185.38 = 33,072.24 : x
  2. Step 2: Convert to fraction form
    34,199.76/47,185.38 = 33,072.24/x
  3. Step 3: Cross multiply
    34,199.76x = 47,185.38 × 33,072.24
  4. Step 4: Simplify right side
    34,199.76x = 1,560,526,211.85
  5. Step 5: Solve for x
    x = 1,560,526,211.85/34,199.76
  6. Step 6: Final answer
    x = 45,629.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.