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Finding the Fourth Proportional to 54,913.75, 75,790.94 and 31,040.36

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Solution

The fourth proportional to 54,913.75, 75,790.94 and 31,040.36 is: 42,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,913.75 : 75,790.94 = 31,040.36 : x
  2. Step 2: Convert to fraction form
    54,913.75/75,790.94 = 31,040.36/x
  3. Step 3: Cross multiply
    54,913.75x = 75,790.94 × 31,040.36
  4. Step 4: Simplify right side
    54,913.75x = 2,352,578,413.32
  5. Step 5: Solve for x
    x = 2,352,578,413.32/54,913.75
  6. Step 6: Final answer
    x = 42,841.34

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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.