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Finding the Fourth Proportional to 53,766, 74,198.97 and 29,568.78

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Solution

The fourth proportional to 53,766, 74,198.97 and 29,568.78 is: 40,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,766 : 74,198.97 = 29,568.78 : x
  2. Step 2: Convert to fraction form
    53,766/74,198.97 = 29,568.78/x
  3. Step 3: Cross multiply
    53,766x = 74,198.97 × 29,568.78
  4. Step 4: Simplify right side
    53,766x = 2,193,973,020.16
  5. Step 5: Solve for x
    x = 2,193,973,020.16/53,766
  6. Step 6: Final answer
    x = 40,805.96

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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.