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Finding the Fourth Proportional to 34,431.44, 51,672.06 and 12,245

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Solution

The fourth proportional to 34,431.44, 51,672.06 and 12,245 is: 18,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,431.44 : 51,672.06 = 12,245 : x
  2. Step 2: Convert to fraction form
    34,431.44/51,672.06 = 12,245/x
  3. Step 3: Cross multiply
    34,431.44x = 51,672.06 × 12,245
  4. Step 4: Simplify right side
    34,431.44x = 632,724,374.70
  5. Step 5: Solve for x
    x = 632,724,374.70/34,431.44
  6. Step 6: Final answer
    x = 18,376.36

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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.