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Finding the Fourth Proportional to 31,737, 43,797.06 and 17,591.98

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Solution

The fourth proportional to 31,737, 43,797.06 and 17,591.98 is: 24,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737 : 43,797.06 = 17,591.98 : x
  2. Step 2: Convert to fraction form
    31,737/43,797.06 = 17,591.98/x
  3. Step 3: Cross multiply
    31,737x = 43,797.06 × 17,591.98
  4. Step 4: Simplify right side
    31,737x = 770,477,003.58
  5. Step 5: Solve for x
    x = 770,477,003.58/31,737
  6. Step 6: Final answer
    x = 24,276.93

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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.