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Finding the Fourth Proportional to 72,045.92, 99,413.16 and 41,834

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Solution

The fourth proportional to 72,045.92, 99,413.16 and 41,834 is: 57,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,045.92 : 99,413.16 = 41,834 : x
  2. Step 2: Convert to fraction form
    72,045.92/99,413.16 = 41,834/x
  3. Step 3: Cross multiply
    72,045.92x = 99,413.16 × 41,834
  4. Step 4: Simplify right side
    72,045.92x = 4,158,850,135.44
  5. Step 5: Solve for x
    x = 4,158,850,135.44/72,045.92
  6. Step 6: Final answer
    x = 57,724.99

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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.