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Finding the Fourth Proportional to 59,413.50, 81,993.06 and 34,263

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Solution

The fourth proportional to 59,413.50, 81,993.06 and 34,263 is: 47,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,413.50 : 81,993.06 = 34,263 : x
  2. Step 2: Convert to fraction form
    59,413.50/81,993.06 = 34,263/x
  3. Step 3: Cross multiply
    59,413.50x = 81,993.06 × 34,263
  4. Step 4: Simplify right side
    59,413.50x = 2,809,328,214.78
  5. Step 5: Solve for x
    x = 2,809,328,214.78/59,413.50
  6. Step 6: Final answer
    x = 47,284.34

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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.