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Finding the Fourth Proportional to 48,017.20, 71,896.20 and 37,649.20

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Solution

The fourth proportional to 48,017.20, 71,896.20 and 37,649.20 is: 56,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,017.20 : 71,896.20 = 37,649.20 : x
  2. Step 2: Convert to fraction form
    48,017.20/71,896.20 = 37,649.20/x
  3. Step 3: Cross multiply
    48,017.20x = 71,896.20 × 37,649.20
  4. Step 4: Simplify right side
    48,017.20x = 2,706,834,413.04
  5. Step 5: Solve for x
    x = 2,706,834,413.04/48,017.20
  6. Step 6: Final answer
    x = 56,372.18

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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.