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Finding the Fourth Proportional to 30,102.75, 41,542.22 and 17,355.67

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Solution

The fourth proportional to 30,102.75, 41,542.22 and 17,355.67 is: 23,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.75 : 41,542.22 = 17,355.67 : x
  2. Step 2: Convert to fraction form
    30,102.75/41,542.22 = 17,355.67/x
  3. Step 3: Cross multiply
    30,102.75x = 41,542.22 × 17,355.67
  4. Step 4: Simplify right side
    30,102.75x = 720,993,061.39
  5. Step 5: Solve for x
    x = 720,993,061.39/30,102.75
  6. Step 6: Final answer
    x = 23,951.07

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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.