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Finding the Fourth Proportional to 41,609.85, 62,413.41 and 16,643.20

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Solution

The fourth proportional to 41,609.85, 62,413.41 and 16,643.20 is: 24,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,609.85 : 62,413.41 = 16,643.20 : x
  2. Step 2: Convert to fraction form
    41,609.85/62,413.41 = 16,643.20/x
  3. Step 3: Cross multiply
    41,609.85x = 62,413.41 × 16,643.20
  4. Step 4: Simplify right side
    41,609.85x = 1,038,758,470.03
  5. Step 5: Solve for x
    x = 1,038,758,470.03/41,609.85
  6. Step 6: Final answer
    x = 24,964.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.