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Finding the Fourth Proportional to 78,115, 117,192.48 and 22,711

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Solution

The fourth proportional to 78,115, 117,192.48 and 22,711 is: 34,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,115 : 117,192.48 = 22,711 : x
  2. Step 2: Convert to fraction form
    78,115/117,192.48 = 22,711/x
  3. Step 3: Cross multiply
    78,115x = 117,192.48 × 22,711
  4. Step 4: Simplify right side
    78,115x = 2,661,558,413.28
  5. Step 5: Solve for x
    x = 2,661,558,413.28/78,115
  6. Step 6: Final answer
    x = 34,072.31

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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.