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Finding the Fourth Proportional to 31,998, 44,157.24 and 17,850.84

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Solution

The fourth proportional to 31,998, 44,157.24 and 17,850.84 is: 24,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998 : 44,157.24 = 17,850.84 : x
  2. Step 2: Convert to fraction form
    31,998/44,157.24 = 17,850.84/x
  3. Step 3: Cross multiply
    31,998x = 44,157.24 × 17,850.84
  4. Step 4: Simplify right side
    31,998x = 788,243,826.08
  5. Step 5: Solve for x
    x = 788,243,826.08/31,998
  6. Step 6: Final answer
    x = 24,634.16

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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.