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Finding the Fourth Proportional to 54,694.04, 75,480.54 and 33,467

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Solution

The fourth proportional to 54,694.04, 75,480.54 and 33,467 is: 46,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,694.04 : 75,480.54 = 33,467 : x
  2. Step 2: Convert to fraction form
    54,694.04/75,480.54 = 33,467/x
  3. Step 3: Cross multiply
    54,694.04x = 75,480.54 × 33,467
  4. Step 4: Simplify right side
    54,694.04x = 2,526,107,232.18
  5. Step 5: Solve for x
    x = 2,526,107,232.18/54,694.04
  6. Step 6: Final answer
    x = 46,186.15

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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.