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Finding the Fourth Proportional to 30,137, 41,589.54 and 16,889

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Solution

The fourth proportional to 30,137, 41,589.54 and 16,889 is: 23,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,137 : 41,589.54 = 16,889 : x
  2. Step 2: Convert to fraction form
    30,137/41,589.54 = 16,889/x
  3. Step 3: Cross multiply
    30,137x = 41,589.54 × 16,889
  4. Step 4: Simplify right side
    30,137x = 702,405,741.06
  5. Step 5: Solve for x
    x = 702,405,741.06/30,137
  6. Step 6: Final answer
    x = 23,307.09

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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.