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Finding the Fourth Proportional to 34,851.64, 48,093.70 and 19,744

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Solution

The fourth proportional to 34,851.64, 48,093.70 and 19,744 is: 27,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,851.64 : 48,093.70 = 19,744 : x
  2. Step 2: Convert to fraction form
    34,851.64/48,093.70 = 19,744/x
  3. Step 3: Cross multiply
    34,851.64x = 48,093.70 × 19,744
  4. Step 4: Simplify right side
    34,851.64x = 949,562,012.80
  5. Step 5: Solve for x
    x = 949,562,012.80/34,851.64
  6. Step 6: Final answer
    x = 27,245.83

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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.