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Finding the Fourth Proportional to 37,015.20, 55,413.72 and 23,828.40

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Solution

The fourth proportional to 37,015.20, 55,413.72 and 23,828.40 is: 35,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,015.20 : 55,413.72 = 23,828.40 : x
  2. Step 2: Convert to fraction form
    37,015.20/55,413.72 = 23,828.40/x
  3. Step 3: Cross multiply
    37,015.20x = 55,413.72 × 23,828.40
  4. Step 4: Simplify right side
    37,015.20x = 1,320,420,285.65
  5. Step 5: Solve for x
    x = 1,320,420,285.65/37,015.20
  6. Step 6: Final answer
    x = 35,672.38

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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.