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Finding the Fourth Proportional to 32,774.82, 45,229.16 and 18,630.39

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Solution

The fourth proportional to 32,774.82, 45,229.16 and 18,630.39 is: 25,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.82 : 45,229.16 = 18,630.39 : x
  2. Step 2: Convert to fraction form
    32,774.82/45,229.16 = 18,630.39/x
  3. Step 3: Cross multiply
    32,774.82x = 45,229.16 × 18,630.39
  4. Step 4: Simplify right side
    32,774.82x = 842,636,797.02
  5. Step 5: Solve for x
    x = 842,636,797.02/32,774.82
  6. Step 6: Final answer
    x = 25,709.88

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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.