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Finding the Fourth Proportional to 34,072.92, 51,045.09 and 17,443.50

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Solution

The fourth proportional to 34,072.92, 51,045.09 and 17,443.50 is: 26,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,072.92 : 51,045.09 = 17,443.50 : x
  2. Step 2: Convert to fraction form
    34,072.92/51,045.09 = 17,443.50/x
  3. Step 3: Cross multiply
    34,072.92x = 51,045.09 × 17,443.50
  4. Step 4: Simplify right side
    34,072.92x = 890,405,027.42
  5. Step 5: Solve for x
    x = 890,405,027.42/34,072.92
  6. Step 6: Final answer
    x = 26,132.34

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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.