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Finding the Fourth Proportional to 59,309.56, 81,914.38 and 40,413.88

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Solution

The fourth proportional to 59,309.56, 81,914.38 and 40,413.88 is: 55,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,309.56 : 81,914.38 = 40,413.88 : x
  2. Step 2: Convert to fraction form
    59,309.56/81,914.38 = 40,413.88/x
  3. Step 3: Cross multiply
    59,309.56x = 81,914.38 × 40,413.88
  4. Step 4: Simplify right side
    59,309.56x = 3,310,477,923.59
  5. Step 5: Solve for x
    x = 3,310,477,923.59/59,309.56
  6. Step 6: Final answer
    x = 55,816.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.