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Finding the Fourth Proportional to 31,997.64, 44,156.61 and 17,850.50

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Solution

The fourth proportional to 31,997.64, 44,156.61 and 17,850.50 is: 24,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.64 : 44,156.61 = 17,850.50 : x
  2. Step 2: Convert to fraction form
    31,997.64/44,156.61 = 17,850.50/x
  3. Step 3: Cross multiply
    31,997.64x = 44,156.61 × 17,850.50
  4. Step 4: Simplify right side
    31,997.64x = 788,217,346.02
  5. Step 5: Solve for x
    x = 788,217,346.02/31,997.64
  6. Step 6: Final answer
    x = 24,633.61

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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.