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Finding the Fourth Proportional to 23,071.96, 34,481.49 and 16,845.08

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Solution

The fourth proportional to 23,071.96, 34,481.49 and 16,845.08 is: 25,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,071.96 : 34,481.49 = 16,845.08 : x
  2. Step 2: Convert to fraction form
    23,071.96/34,481.49 = 16,845.08/x
  3. Step 3: Cross multiply
    23,071.96x = 34,481.49 × 16,845.08
  4. Step 4: Simplify right side
    23,071.96x = 580,843,457.57
  5. Step 5: Solve for x
    x = 580,843,457.57/23,071.96
  6. Step 6: Final answer
    x = 25,175.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.