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Finding the Fourth Proportional to 114,048, 171,072.61 and 30,942

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Solution

The fourth proportional to 114,048, 171,072.61 and 30,942 is: 46,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,048 : 171,072.61 = 30,942 : x
  2. Step 2: Convert to fraction form
    114,048/171,072.61 = 30,942/x
  3. Step 3: Cross multiply
    114,048x = 171,072.61 × 30,942
  4. Step 4: Simplify right side
    114,048x = 5,293,328,621.27
  5. Step 5: Solve for x
    x = 5,293,328,621.27/114,048
  6. Step 6: Final answer
    x = 46,413.16

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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.