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Finding the Fourth Proportional to 35,896.26, 49,535.64 and 19,981.38

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Solution

The fourth proportional to 35,896.26, 49,535.64 and 19,981.38 is: 27,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,896.26 : 49,535.64 = 19,981.38 : x
  2. Step 2: Convert to fraction form
    35,896.26/49,535.64 = 19,981.38/x
  3. Step 3: Cross multiply
    35,896.26x = 49,535.64 × 19,981.38
  4. Step 4: Simplify right side
    35,896.26x = 989,790,446.38
  5. Step 5: Solve for x
    x = 989,790,446.38/35,896.26
  6. Step 6: Final answer
    x = 27,573.64

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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.