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Finding the Fourth Proportional to 34,930.16, 52,377.44 and 17,162

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Solution

The fourth proportional to 34,930.16, 52,377.44 and 17,162 is: 25,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930.16 : 52,377.44 = 17,162 : x
  2. Step 2: Convert to fraction form
    34,930.16/52,377.44 = 17,162/x
  3. Step 3: Cross multiply
    34,930.16x = 52,377.44 × 17,162
  4. Step 4: Simplify right side
    34,930.16x = 898,901,625.28
  5. Step 5: Solve for x
    x = 898,901,625.28/34,930.16
  6. Step 6: Final answer
    x = 25,734.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.