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Finding the Fourth Proportional to 29,059.89, 43,584.09 and 7,994.50

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Solution

The fourth proportional to 29,059.89, 43,584.09 and 7,994.50 is: 11,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,059.89 : 43,584.09 = 7,994.50 : x
  2. Step 2: Convert to fraction form
    29,059.89/43,584.09 = 7,994.50/x
  3. Step 3: Cross multiply
    29,059.89x = 43,584.09 × 7,994.50
  4. Step 4: Simplify right side
    29,059.89x = 348,432,789.58
  5. Step 5: Solve for x
    x = 348,432,789.58/29,059.89
  6. Step 6: Final answer
    x = 11,990.16

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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.