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Finding the Fourth Proportional to 29,291.54, 43,936.29 and 8,231.74

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Solution

The fourth proportional to 29,291.54, 43,936.29 and 8,231.74 is: 12,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,291.54 : 43,936.29 = 8,231.74 : x
  2. Step 2: Convert to fraction form
    29,291.54/43,936.29 = 8,231.74/x
  3. Step 3: Cross multiply
    29,291.54x = 43,936.29 × 8,231.74
  4. Step 4: Simplify right side
    29,291.54x = 361,672,006.00
  5. Step 5: Solve for x
    x = 361,672,006.00/29,291.54
  6. Step 6: Final answer
    x = 12,347.32

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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.