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Finding the Fourth Proportional to 38,414.97, 53,013.23 and 21,418.71

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Solution

The fourth proportional to 38,414.97, 53,013.23 and 21,418.71 is: 29,558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.97 : 53,013.23 = 21,418.71 : x
  2. Step 2: Convert to fraction form
    38,414.97/53,013.23 = 21,418.71/x
  3. Step 3: Cross multiply
    38,414.97x = 53,013.23 × 21,418.71
  4. Step 4: Simplify right side
    38,414.97x = 1,135,474,892.44
  5. Step 5: Solve for x
    x = 1,135,474,892.44/38,414.97
  6. Step 6: Final answer
    x = 29,558.14

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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.