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Finding the Fourth Proportional to 35,198.38, 48,573.94 and 19,282.84

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Solution

The fourth proportional to 35,198.38, 48,573.94 and 19,282.84 is: 26,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,198.38 : 48,573.94 = 19,282.84 : x
  2. Step 2: Convert to fraction form
    35,198.38/48,573.94 = 19,282.84/x
  3. Step 3: Cross multiply
    35,198.38x = 48,573.94 × 19,282.84
  4. Step 4: Simplify right side
    35,198.38x = 936,643,343.55
  5. Step 5: Solve for x
    x = 936,643,343.55/35,198.38
  6. Step 6: Final answer
    x = 26,610.41

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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.