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Finding the Fourth Proportional to 29,276.54, 43,911.96 and 8,214.68

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Solution

The fourth proportional to 29,276.54, 43,911.96 and 8,214.68 is: 12,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,276.54 : 43,911.96 = 8,214.68 : x
  2. Step 2: Convert to fraction form
    29,276.54/43,911.96 = 8,214.68/x
  3. Step 3: Cross multiply
    29,276.54x = 43,911.96 × 8,214.68
  4. Step 4: Simplify right side
    29,276.54x = 360,722,699.57
  5. Step 5: Solve for x
    x = 360,722,699.57/29,276.54
  6. Step 6: Final answer
    x = 12,321.22

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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.