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Finding the Fourth Proportional to 29,006.09, 43,509.17 and 7,946.31

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Solution

The fourth proportional to 29,006.09, 43,509.17 and 7,946.31 is: 11,919.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,006.09 : 43,509.17 = 7,946.31 : x
  2. Step 2: Convert to fraction form
    29,006.09/43,509.17 = 7,946.31/x
  3. Step 3: Cross multiply
    29,006.09x = 43,509.17 × 7,946.31
  4. Step 4: Simplify right side
    29,006.09x = 345,737,342.73
  5. Step 5: Solve for x
    x = 345,737,342.73/29,006.09
  6. Step 6: Final answer
    x = 11,919.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.