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Finding the Fourth Proportional to 78,413.50, 117,640.23 and 23,009.50

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Solution

The fourth proportional to 78,413.50, 117,640.23 and 23,009.50 is: 34,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.50 : 117,640.23 = 23,009.50 : x
  2. Step 2: Convert to fraction form
    78,413.50/117,640.23 = 23,009.50/x
  3. Step 3: Cross multiply
    78,413.50x = 117,640.23 × 23,009.50
  4. Step 4: Simplify right side
    78,413.50x = 2,706,842,872.19
  5. Step 5: Solve for x
    x = 2,706,842,872.19/78,413.50
  6. Step 6: Final answer
    x = 34,520.11

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