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Finding the Fourth Proportional to 41,315.86, 57,014.04 and 23,409.82

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Solution

The fourth proportional to 41,315.86, 57,014.04 and 23,409.82 is: 32,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,315.86 : 57,014.04 = 23,409.82 : x
  2. Step 2: Convert to fraction form
    41,315.86/57,014.04 = 23,409.82/x
  3. Step 3: Cross multiply
    41,315.86x = 57,014.04 × 23,409.82
  4. Step 4: Simplify right side
    41,315.86x = 1,334,688,413.87
  5. Step 5: Solve for x
    x = 1,334,688,413.87/41,315.86
  6. Step 6: Final answer
    x = 32,304.51

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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.