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Finding the Fourth Proportional to 82,912.18, 114,413.34 and 46,619.20

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Solution

The fourth proportional to 82,912.18, 114,413.34 and 46,619.20 is: 64,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.18 : 114,413.34 = 46,619.20 : x
  2. Step 2: Convert to fraction form
    82,912.18/114,413.34 = 46,619.20/x
  3. Step 3: Cross multiply
    82,912.18x = 114,413.34 × 46,619.20
  4. Step 4: Simplify right side
    82,912.18x = 5,333,858,380.13
  5. Step 5: Solve for x
    x = 5,333,858,380.13/82,912.18
  6. Step 6: Final answer
    x = 64,331.42

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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.