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Finding the Fourth Proportional to 29,850.41, 41,179.75 and 17,893

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Solution

The fourth proportional to 29,850.41, 41,179.75 and 17,893 is: 24,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,850.41 : 41,179.75 = 17,893 : x
  2. Step 2: Convert to fraction form
    29,850.41/41,179.75 = 17,893/x
  3. Step 3: Cross multiply
    29,850.41x = 41,179.75 × 17,893
  4. Step 4: Simplify right side
    29,850.41x = 736,829,266.75
  5. Step 5: Solve for x
    x = 736,829,266.75/29,850.41
  6. Step 6: Final answer
    x = 24,684.06

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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.