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Finding the Fourth Proportional to 29,321.68, 43,954.92 and 9,586.44

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Solution

The fourth proportional to 29,321.68, 43,954.92 and 9,586.44 is: 14,370.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,321.68 : 43,954.92 = 9,586.44 : x
  2. Step 2: Convert to fraction form
    29,321.68/43,954.92 = 9,586.44/x
  3. Step 3: Cross multiply
    29,321.68x = 43,954.92 × 9,586.44
  4. Step 4: Simplify right side
    29,321.68x = 421,371,203.28
  5. Step 5: Solve for x
    x = 421,371,203.28/29,321.68
  6. Step 6: Final answer
    x = 14,370.64

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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.