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Finding the Fourth Proportional to 33,046, 45,604.44 and 18,142.96

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Solution

The fourth proportional to 33,046, 45,604.44 and 18,142.96 is: 25,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,046 : 45,604.44 = 18,142.96 : x
  2. Step 2: Convert to fraction form
    33,046/45,604.44 = 18,142.96/x
  3. Step 3: Cross multiply
    33,046x = 45,604.44 × 18,142.96
  4. Step 4: Simplify right side
    33,046x = 827,399,530.74
  5. Step 5: Solve for x
    x = 827,399,530.74/33,046
  6. Step 6: Final answer
    x = 25,037.81

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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.