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Finding the Fourth Proportional to 20,495.92, 30,743.52 and 5,705.68

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Solution

The fourth proportional to 20,495.92, 30,743.52 and 5,705.68 is: 8,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.92 : 30,743.52 = 5,705.68 : x
  2. Step 2: Convert to fraction form
    20,495.92/30,743.52 = 5,705.68/x
  3. Step 3: Cross multiply
    20,495.92x = 30,743.52 × 5,705.68
  4. Step 4: Simplify right side
    20,495.92x = 175,412,687.19
  5. Step 5: Solve for x
    x = 175,412,687.19/20,495.92
  6. Step 6: Final answer
    x = 8,558.42

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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.