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Finding the Fourth Proportional to 33,106.38, 45,686.80 and 18,202.38

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Solution

The fourth proportional to 33,106.38, 45,686.80 and 18,202.38 is: 25,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.38 : 45,686.80 = 18,202.38 : x
  2. Step 2: Convert to fraction form
    33,106.38/45,686.80 = 18,202.38/x
  3. Step 3: Cross multiply
    33,106.38x = 45,686.80 × 18,202.38
  4. Step 4: Simplify right side
    33,106.38x = 831,608,494.58
  5. Step 5: Solve for x
    x = 831,608,494.58/33,106.38
  6. Step 6: Final answer
    x = 25,119.28

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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.