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Finding the Fourth Proportional to 54,695.04, 75,481.92 and 33,468

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Solution

The fourth proportional to 54,695.04, 75,481.92 and 33,468 is: 46,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,695.04 : 75,481.92 = 33,468 : x
  2. Step 2: Convert to fraction form
    54,695.04/75,481.92 = 33,468/x
  3. Step 3: Cross multiply
    54,695.04x = 75,481.92 × 33,468
  4. Step 4: Simplify right side
    54,695.04x = 2,526,228,898.56
  5. Step 5: Solve for x
    x = 2,526,228,898.56/54,695.04
  6. Step 6: Final answer
    x = 46,187.53

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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.