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Finding the Fourth Proportional to 31,970, 44,120.12 and 17,822.84

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Solution

The fourth proportional to 31,970, 44,120.12 and 17,822.84 is: 24,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,970 : 44,120.12 = 17,822.84 : x
  2. Step 2: Convert to fraction form
    31,970/44,120.12 = 17,822.84/x
  3. Step 3: Cross multiply
    31,970x = 44,120.12 × 17,822.84
  4. Step 4: Simplify right side
    31,970x = 786,345,839.54
  5. Step 5: Solve for x
    x = 786,345,839.54/31,970
  6. Step 6: Final answer
    x = 24,596.37

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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.