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Finding the Fourth Proportional to 54,612.60, 81,789.30 and 33,617.40

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Solution

The fourth proportional to 54,612.60, 81,789.30 and 33,617.40 is: 50,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,612.60 : 81,789.30 = 33,617.40 : x
  2. Step 2: Convert to fraction form
    54,612.60/81,789.30 = 33,617.40/x
  3. Step 3: Cross multiply
    54,612.60x = 81,789.30 × 33,617.40
  4. Step 4: Simplify right side
    54,612.60x = 2,749,543,613.82
  5. Step 5: Solve for x
    x = 2,749,543,613.82/54,612.60
  6. Step 6: Final answer
    x = 50,346.32

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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.