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Finding the Fourth Proportional to 51,794.92, 71,471.94 and 29,128.60

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Solution

The fourth proportional to 51,794.92, 71,471.94 and 29,128.60 is: 40,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,794.92 : 71,471.94 = 29,128.60 : x
  2. Step 2: Convert to fraction form
    51,794.92/71,471.94 = 29,128.60/x
  3. Step 3: Cross multiply
    51,794.92x = 71,471.94 × 29,128.60
  4. Step 4: Simplify right side
    51,794.92x = 2,081,877,551.48
  5. Step 5: Solve for x
    x = 2,081,877,551.48/51,794.92
  6. Step 6: Final answer
    x = 40,194.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.