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Finding the Fourth Proportional to 71,413.65, 107,135.46 and 27,039.42

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Solution

The fourth proportional to 71,413.65, 107,135.46 and 27,039.42 is: 40,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,413.65 : 107,135.46 = 27,039.42 : x
  2. Step 2: Convert to fraction form
    71,413.65/107,135.46 = 27,039.42/x
  3. Step 3: Cross multiply
    71,413.65x = 107,135.46 × 27,039.42
  4. Step 4: Simplify right side
    71,413.65x = 2,896,880,699.83
  5. Step 5: Solve for x
    x = 2,896,880,699.83/71,413.65
  6. Step 6: Final answer
    x = 40,564.80

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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.