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Finding the Fourth Proportional to 31,976.45, 44,127.75 and 17,830.20

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Solution

The fourth proportional to 31,976.45, 44,127.75 and 17,830.20 is: 24,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,976.45 : 44,127.75 = 17,830.20 : x
  2. Step 2: Convert to fraction form
    31,976.45/44,127.75 = 17,830.20/x
  3. Step 3: Cross multiply
    31,976.45x = 44,127.75 × 17,830.20
  4. Step 4: Simplify right side
    31,976.45x = 786,806,608.05
  5. Step 5: Solve for x
    x = 786,806,608.05/31,976.45
  6. Step 6: Final answer
    x = 24,605.81

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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.