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Finding the Fourth Proportional to 71,698.44, 107,467.02 and 34,788.36

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Solution

The fourth proportional to 71,698.44, 107,467.02 and 34,788.36 is: 52,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,698.44 : 107,467.02 = 34,788.36 : x
  2. Step 2: Convert to fraction form
    71,698.44/107,467.02 = 34,788.36/x
  3. Step 3: Cross multiply
    71,698.44x = 107,467.02 × 34,788.36
  4. Step 4: Simplify right side
    71,698.44x = 3,738,601,379.89
  5. Step 5: Solve for x
    x = 3,738,601,379.89/71,698.44
  6. Step 6: Final answer
    x = 52,143.41

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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.