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Finding the Fourth Proportional to 54,072, 74,610.29 and 30,198.77

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Solution

The fourth proportional to 54,072, 74,610.29 and 30,198.77 is: 41,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072 : 74,610.29 = 30,198.77 : x
  2. Step 2: Convert to fraction form
    54,072/74,610.29 = 30,198.77/x
  3. Step 3: Cross multiply
    54,072x = 74,610.29 × 30,198.77
  4. Step 4: Simplify right side
    54,072x = 2,253,138,987.34
  5. Step 5: Solve for x
    x = 2,253,138,987.34/54,072
  6. Step 6: Final answer
    x = 41,669.24

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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.