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Finding the Fourth Proportional to 35,778.33, 49,375.71 and 19,863

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Solution

The fourth proportional to 35,778.33, 49,375.71 and 19,863 is: 27,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,778.33 : 49,375.71 = 19,863 : x
  2. Step 2: Convert to fraction form
    35,778.33/49,375.71 = 19,863/x
  3. Step 3: Cross multiply
    35,778.33x = 49,375.71 × 19,863
  4. Step 4: Simplify right side
    35,778.33x = 980,749,727.73
  5. Step 5: Solve for x
    x = 980,749,727.73/35,778.33
  6. Step 6: Final answer
    x = 27,411.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.