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Finding the Fourth Proportional to 41,606.56, 57,413.70 and 23,698

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Solution

The fourth proportional to 41,606.56, 57,413.70 and 23,698 is: 32,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,606.56 : 57,413.70 = 23,698 : x
  2. Step 2: Convert to fraction form
    41,606.56/57,413.70 = 23,698/x
  3. Step 3: Cross multiply
    41,606.56x = 57,413.70 × 23,698
  4. Step 4: Simplify right side
    41,606.56x = 1,360,589,862.60
  5. Step 5: Solve for x
    x = 1,360,589,862.60/41,606.56
  6. Step 6: Final answer
    x = 32,701.33

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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.