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Finding the Fourth Proportional to 34,107.77, 51,161.30 and 13,331.09

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Solution

The fourth proportional to 34,107.77, 51,161.30 and 13,331.09 is: 19,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,107.77 : 51,161.30 = 13,331.09 : x
  2. Step 2: Convert to fraction form
    34,107.77/51,161.30 = 13,331.09/x
  3. Step 3: Cross multiply
    34,107.77x = 51,161.30 × 13,331.09
  4. Step 4: Simplify right side
    34,107.77x = 682,035,894.82
  5. Step 5: Solve for x
    x = 682,035,894.82/34,107.77
  6. Step 6: Final answer
    x = 19,996.50

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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.