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Finding the Fourth Proportional to 33,309.36, 45,966.12 and 18,202.05

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Solution

The fourth proportional to 33,309.36, 45,966.12 and 18,202.05 is: 25,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309.36 : 45,966.12 = 18,202.05 : x
  2. Step 2: Convert to fraction form
    33,309.36/45,966.12 = 18,202.05/x
  3. Step 3: Cross multiply
    33,309.36x = 45,966.12 × 18,202.05
  4. Step 4: Simplify right side
    33,309.36x = 836,677,614.55
  5. Step 5: Solve for x
    x = 836,677,614.55/33,309.36
  6. Step 6: Final answer
    x = 25,118.39

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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.