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Finding the Fourth Proportional to 30,134, 41,584.92 and 17,561.18

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Solution

The fourth proportional to 30,134, 41,584.92 and 17,561.18 is: 24,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,134 : 41,584.92 = 17,561.18 : x
  2. Step 2: Convert to fraction form
    30,134/41,584.92 = 17,561.18/x
  3. Step 3: Cross multiply
    30,134x = 41,584.92 × 17,561.18
  4. Step 4: Simplify right side
    30,134x = 730,280,265.41
  5. Step 5: Solve for x
    x = 730,280,265.41/30,134
  6. Step 6: Final answer
    x = 24,234.43

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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.