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Finding the Fourth Proportional to 35,982.38, 49,655.73 and 19,849.32

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Solution

The fourth proportional to 35,982.38, 49,655.73 and 19,849.32 is: 27,392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982.38 : 49,655.73 = 19,849.32 : x
  2. Step 2: Convert to fraction form
    35,982.38/49,655.73 = 19,849.32/x
  3. Step 3: Cross multiply
    35,982.38x = 49,655.73 × 19,849.32
  4. Step 4: Simplify right side
    35,982.38x = 985,632,474.60
  5. Step 5: Solve for x
    x = 985,632,474.60/35,982.38
  6. Step 6: Final answer
    x = 27,392.09

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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.