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Finding the Fourth Proportional to 30,203.46, 41,684.49 and 17,632.26

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Solution

The fourth proportional to 30,203.46, 41,684.49 and 17,632.26 is: 24,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,203.46 : 41,684.49 = 17,632.26 : x
  2. Step 2: Convert to fraction form
    30,203.46/41,684.49 = 17,632.26/x
  3. Step 3: Cross multiply
    30,203.46x = 41,684.49 × 17,632.26
  4. Step 4: Simplify right side
    30,203.46x = 734,991,765.65
  5. Step 5: Solve for x
    x = 734,991,765.65/30,203.46
  6. Step 6: Final answer
    x = 24,334.69

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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.