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Finding the Fourth Proportional to 30,154.06, 41,611.89 and 17,578

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Solution

The fourth proportional to 30,154.06, 41,611.89 and 17,578 is: 24,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154.06 : 41,611.89 = 17,578 : x
  2. Step 2: Convert to fraction form
    30,154.06/41,611.89 = 17,578/x
  3. Step 3: Cross multiply
    30,154.06x = 41,611.89 × 17,578
  4. Step 4: Simplify right side
    30,154.06x = 731,453,802.42
  5. Step 5: Solve for x
    x = 731,453,802.42/30,154.06
  6. Step 6: Final answer
    x = 24,257.22

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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.