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Finding the Fourth Proportional to 31,974.68, 44,137.22 and 24,039.96

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Solution

The fourth proportional to 31,974.68, 44,137.22 and 24,039.96 is: 33,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974.68 : 44,137.22 = 24,039.96 : x
  2. Step 2: Convert to fraction form
    31,974.68/44,137.22 = 24,039.96/x
  3. Step 3: Cross multiply
    31,974.68x = 44,137.22 × 24,039.96
  4. Step 4: Simplify right side
    31,974.68x = 1,061,056,852.82
  5. Step 5: Solve for x
    x = 1,061,056,852.82/31,974.68
  6. Step 6: Final answer
    x = 33,184.28

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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.