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Finding the Fourth Proportional to 35,769.28, 49,361.25 and 19,853.32

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Solution

The fourth proportional to 35,769.28, 49,361.25 and 19,853.32 is: 27,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,769.28 : 49,361.25 = 19,853.32 : x
  2. Step 2: Convert to fraction form
    35,769.28/49,361.25 = 19,853.32/x
  3. Step 3: Cross multiply
    35,769.28x = 49,361.25 × 19,853.32
  4. Step 4: Simplify right side
    35,769.28x = 979,984,691.85
  5. Step 5: Solve for x
    x = 979,984,691.85/35,769.28
  6. Step 6: Final answer
    x = 27,397.38

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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.