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Finding the Fourth Proportional to 68,413.78, 102,636.06 and 24,043.60

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Solution

The fourth proportional to 68,413.78, 102,636.06 and 24,043.60 is: 36,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,413.78 : 102,636.06 = 24,043.60 : x
  2. Step 2: Convert to fraction form
    68,413.78/102,636.06 = 24,043.60/x
  3. Step 3: Cross multiply
    68,413.78x = 102,636.06 × 24,043.60
  4. Step 4: Simplify right side
    68,413.78x = 2,467,740,372.22
  5. Step 5: Solve for x
    x = 2,467,740,372.22/68,413.78
  6. Step 6: Final answer
    x = 36,070.81

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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.