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Finding the Fourth Proportional to 33,783.98, 46,635.03 and 30,241.04

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Solution

The fourth proportional to 33,783.98, 46,635.03 and 30,241.04 is: 41,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783.98 : 46,635.03 = 30,241.04 : x
  2. Step 2: Convert to fraction form
    33,783.98/46,635.03 = 30,241.04/x
  3. Step 3: Cross multiply
    33,783.98x = 46,635.03 × 30,241.04
  4. Step 4: Simplify right side
    33,783.98x = 1,410,291,574.46
  5. Step 5: Solve for x
    x = 1,410,291,574.46/33,783.98
  6. Step 6: Final answer
    x = 41,744.39

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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.