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Finding the Fourth Proportional to 31,794.57, 43,872.71 and 17,645.49

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Solution

The fourth proportional to 31,794.57, 43,872.71 and 17,645.49 is: 24,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.57 : 43,872.71 = 17,645.49 : x
  2. Step 2: Convert to fraction form
    31,794.57/43,872.71 = 17,645.49/x
  3. Step 3: Cross multiply
    31,794.57x = 43,872.71 × 17,645.49
  4. Step 4: Simplify right side
    31,794.57x = 774,155,377.35
  5. Step 5: Solve for x
    x = 774,155,377.35/31,794.57
  6. Step 6: Final answer
    x = 24,348.67

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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.