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Finding the Fourth Proportional to 29,212.92, 43,821.05 and 9,493.16

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Solution

The fourth proportional to 29,212.92, 43,821.05 and 9,493.16 is: 14,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,212.92 : 43,821.05 = 9,493.16 : x
  2. Step 2: Convert to fraction form
    29,212.92/43,821.05 = 9,493.16/x
  3. Step 3: Cross multiply
    29,212.92x = 43,821.05 × 9,493.16
  4. Step 4: Simplify right side
    29,212.92x = 415,999,972.45
  5. Step 5: Solve for x
    x = 415,999,972.45/29,212.92
  6. Step 6: Final answer
    x = 14,240.27

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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.