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Finding the Fourth Proportional to 54,257.96, 74,876.74 and 30,384.42

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Solution

The fourth proportional to 54,257.96, 74,876.74 and 30,384.42 is: 41,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,257.96 : 74,876.74 = 30,384.42 : x
  2. Step 2: Convert to fraction form
    54,257.96/74,876.74 = 30,384.42/x
  3. Step 3: Cross multiply
    54,257.96x = 74,876.74 × 30,384.42
  4. Step 4: Simplify right side
    54,257.96x = 2,275,086,316.39
  5. Step 5: Solve for x
    x = 2,275,086,316.39/54,257.96
  6. Step 6: Final answer
    x = 41,930.92

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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.