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Finding the Fourth Proportional to 54,286.29, 74,915.01 and 30,413.14

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Solution

The fourth proportional to 54,286.29, 74,915.01 and 30,413.14 is: 41,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,286.29 : 74,915.01 = 30,413.14 : x
  2. Step 2: Convert to fraction form
    54,286.29/74,915.01 = 30,413.14/x
  3. Step 3: Cross multiply
    54,286.29x = 74,915.01 × 30,413.14
  4. Step 4: Simplify right side
    54,286.29x = 2,278,400,499.94
  5. Step 5: Solve for x
    x = 2,278,400,499.94/54,286.29
  6. Step 6: Final answer
    x = 41,970.09

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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.