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Finding the Fourth Proportional to 105,413.31, 158,135.59 and 30,524.10

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Solution

The fourth proportional to 105,413.31, 158,135.59 and 30,524.10 is: 45,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,413.31 : 158,135.59 = 30,524.10 : x
  2. Step 2: Convert to fraction form
    105,413.31/158,135.59 = 30,524.10/x
  3. Step 3: Cross multiply
    105,413.31x = 158,135.59 × 30,524.10
  4. Step 4: Simplify right side
    105,413.31x = 4,826,946,410.10
  5. Step 5: Solve for x
    x = 4,826,946,410.10/105,413.31
  6. Step 6: Final answer
    x = 45,790.68

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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.