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Finding the Fourth Proportional to 31,917.66, 44,049.44 and 17,770.50

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Solution

The fourth proportional to 31,917.66, 44,049.44 and 17,770.50 is: 24,525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,917.66 : 44,049.44 = 17,770.50 : x
  2. Step 2: Convert to fraction form
    31,917.66/44,049.44 = 17,770.50/x
  3. Step 3: Cross multiply
    31,917.66x = 44,049.44 × 17,770.50
  4. Step 4: Simplify right side
    31,917.66x = 782,780,617.95
  5. Step 5: Solve for x
    x = 782,780,617.95/31,917.66
  6. Step 6: Final answer
    x = 24,525.00

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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.