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Finding the Fourth Proportional to 32,778.60, 45,231.78 and 18,628.20

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Solution

The fourth proportional to 32,778.60, 45,231.78 and 18,628.20 is: 25,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.60 : 45,231.78 = 18,628.20 : x
  2. Step 2: Convert to fraction form
    32,778.60/45,231.78 = 18,628.20/x
  3. Step 3: Cross multiply
    32,778.60x = 45,231.78 × 18,628.20
  4. Step 4: Simplify right side
    32,778.60x = 842,586,644.20
  5. Step 5: Solve for x
    x = 842,586,644.20/32,778.60
  6. Step 6: Final answer
    x = 25,705.39

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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.