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Finding the Fourth Proportional to 41,315.40, 57,015.09 and 23,413.83

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Solution

The fourth proportional to 41,315.40, 57,015.09 and 23,413.83 is: 32,310.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,315.40 : 57,015.09 = 23,413.83 : x
  2. Step 2: Convert to fraction form
    41,315.40/57,015.09 = 23,413.83/x
  3. Step 3: Cross multiply
    41,315.40x = 57,015.09 × 23,413.83
  4. Step 4: Simplify right side
    41,315.40x = 1,334,941,624.69
  5. Step 5: Solve for x
    x = 1,334,941,624.69/41,315.40
  6. Step 6: Final answer
    x = 32,310.99

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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.