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Finding the Fourth Proportional to 31,998.12, 44,157.60 and 17,850.84

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Solution

The fourth proportional to 31,998.12, 44,157.60 and 17,850.84 is: 24,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,998.12 : 44,157.60 = 17,850.84 : x
  2. Step 2: Convert to fraction form
    31,998.12/44,157.60 = 17,850.84/x
  3. Step 3: Cross multiply
    31,998.12x = 44,157.60 × 17,850.84
  4. Step 4: Simplify right side
    31,998.12x = 788,250,252.38
  5. Step 5: Solve for x
    x = 788,250,252.38/31,998.12
  6. Step 6: Final answer
    x = 24,634.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.