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Finding the Fourth Proportional to 34,082.78, 47,033.87 and 18,975.06

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Solution

The fourth proportional to 34,082.78, 47,033.87 and 18,975.06 is: 26,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,082.78 : 47,033.87 = 18,975.06 : x
  2. Step 2: Convert to fraction form
    34,082.78/47,033.87 = 18,975.06/x
  3. Step 3: Cross multiply
    34,082.78x = 47,033.87 × 18,975.06
  4. Step 4: Simplify right side
    34,082.78x = 892,470,410.41
  5. Step 5: Solve for x
    x = 892,470,410.41/34,082.78
  6. Step 6: Final answer
    x = 26,185.38

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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.