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Finding the Fourth Proportional to 34,647.62, 51,971.32 and 12,460.96

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Solution

The fourth proportional to 34,647.62, 51,971.32 and 12,460.96 is: 18,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,647.62 : 51,971.32 = 12,460.96 : x
  2. Step 2: Convert to fraction form
    34,647.62/51,971.32 = 12,460.96/x
  3. Step 3: Cross multiply
    34,647.62x = 51,971.32 × 12,460.96
  4. Step 4: Simplify right side
    34,647.62x = 647,612,766.38
  5. Step 5: Solve for x
    x = 647,612,766.38/34,647.62
  6. Step 6: Final answer
    x = 18,691.41

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Why These Related Problems?

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