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Finding the Fourth Proportional to 34,120.08, 51,180.12 and 13,329

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Solution

The fourth proportional to 34,120.08, 51,180.12 and 13,329 is: 19,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,120.08 : 51,180.12 = 13,329 : x
  2. Step 2: Convert to fraction form
    34,120.08/51,180.12 = 13,329/x
  3. Step 3: Cross multiply
    34,120.08x = 51,180.12 × 13,329
  4. Step 4: Simplify right side
    34,120.08x = 682,179,819.48
  5. Step 5: Solve for x
    x = 682,179,819.48/34,120.08
  6. Step 6: Final answer
    x = 19,993.50

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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.