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Finding the Fourth Proportional to 51,641.75, 71,254.63 and 30,413.27

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Solution

The fourth proportional to 51,641.75, 71,254.63 and 30,413.27 is: 41,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,641.75 : 71,254.63 = 30,413.27 : x
  2. Step 2: Convert to fraction form
    51,641.75/71,254.63 = 30,413.27/x
  3. Step 3: Cross multiply
    51,641.75x = 71,254.63 × 30,413.27
  4. Step 4: Simplify right side
    51,641.75x = 2,167,086,300.94
  5. Step 5: Solve for x
    x = 2,167,086,300.94/51,641.75
  6. Step 6: Final answer
    x = 41,963.84

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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.