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Finding the Fourth Proportional to 82,185.30, 113,413.77 and 46,376.82

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Solution

The fourth proportional to 82,185.30, 113,413.77 and 46,376.82 is: 63,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,185.30 : 113,413.77 = 46,376.82 : x
  2. Step 2: Convert to fraction form
    82,185.30/113,413.77 = 46,376.82/x
  3. Step 3: Cross multiply
    82,185.30x = 113,413.77 × 46,376.82
  4. Step 4: Simplify right side
    82,185.30x = 5,259,769,996.81
  5. Step 5: Solve for x
    x = 5,259,769,996.81/82,185.30
  6. Step 6: Final answer
    x = 63,998.91

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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.