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Finding the Fourth Proportional to 30,413.86, 41,971.10 and 16,985.10

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Solution

The fourth proportional to 30,413.86, 41,971.10 and 16,985.10 is: 23,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.86 : 41,971.10 = 16,985.10 : x
  2. Step 2: Convert to fraction form
    30,413.86/41,971.10 = 16,985.10/x
  3. Step 3: Cross multiply
    30,413.86x = 41,971.10 × 16,985.10
  4. Step 4: Simplify right side
    30,413.86x = 712,883,330.61
  5. Step 5: Solve for x
    x = 712,883,330.61/30,413.86
  6. Step 6: Final answer
    x = 23,439.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.