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Finding the Fourth Proportional to 53,003.40, 73,131.78 and 30,033.84

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Solution

The fourth proportional to 53,003.40, 73,131.78 and 30,033.84 is: 41,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,003.40 : 73,131.78 = 30,033.84 : x
  2. Step 2: Convert to fraction form
    53,003.40/73,131.78 = 30,033.84/x
  3. Step 3: Cross multiply
    53,003.40x = 73,131.78 × 30,033.84
  4. Step 4: Simplify right side
    53,003.40x = 2,196,428,179.44
  5. Step 5: Solve for x
    x = 2,196,428,179.44/53,003.40
  6. Step 6: Final answer
    x = 41,439.38

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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.