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Finding the Fourth Proportional to 34,651.33, 51,971.32 and 12,460.57

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Solution

The fourth proportional to 34,651.33, 51,971.32 and 12,460.57 is: 18,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.33 : 51,971.32 = 12,460.57 : x
  2. Step 2: Convert to fraction form
    34,651.33/51,971.32 = 12,460.57/x
  3. Step 3: Cross multiply
    34,651.33x = 51,971.32 × 12,460.57
  4. Step 4: Simplify right side
    34,651.33x = 647,592,270.85
  5. Step 5: Solve for x
    x = 647,592,270.85/34,651.33
  6. Step 6: Final answer
    x = 18,688.81

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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.