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Finding the Fourth Proportional to 54,071.24, 74,619.92 and 31,413.92

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Solution

The fourth proportional to 54,071.24, 74,619.92 and 31,413.92 is: 43,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,071.24 : 74,619.92 = 31,413.92 : x
  2. Step 2: Convert to fraction form
    54,071.24/74,619.92 = 31,413.92/x
  3. Step 3: Cross multiply
    54,071.24x = 74,619.92 × 31,413.92
  4. Step 4: Simplify right side
    54,071.24x = 2,344,104,040.22
  5. Step 5: Solve for x
    x = 2,344,104,040.22/54,071.24
  6. Step 6: Final answer
    x = 43,352.14

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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.