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Finding the Fourth Proportional to 35,784.38, 49,383.98 and 19,868.82

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Solution

The fourth proportional to 35,784.38, 49,383.98 and 19,868.82 is: 27,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784.38 : 49,383.98 = 19,868.82 : x
  2. Step 2: Convert to fraction form
    35,784.38/49,383.98 = 19,868.82/x
  3. Step 3: Cross multiply
    35,784.38x = 49,383.98 × 19,868.82
  4. Step 4: Simplify right side
    35,784.38x = 981,201,310.16
  5. Step 5: Solve for x
    x = 981,201,310.16/35,784.38
  6. Step 6: Final answer
    x = 27,419.83

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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.