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Finding the Fourth Proportional to 35,778.67, 49,376.79 and 19,863.38

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Solution

The fourth proportional to 35,778.67, 49,376.79 and 19,863.38 is: 27,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,778.67 : 49,376.79 = 19,863.38 : x
  2. Step 2: Convert to fraction form
    35,778.67/49,376.79 = 19,863.38/x
  3. Step 3: Cross multiply
    35,778.67x = 49,376.79 × 19,863.38
  4. Step 4: Simplify right side
    35,778.67x = 980,790,066.39
  5. Step 5: Solve for x
    x = 980,790,066.39/35,778.67
  6. Step 6: Final answer
    x = 27,412.71

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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.