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Finding the Fourth Proportional to 54,182.88, 74,782.04 and 32,676.44

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Solution

The fourth proportional to 54,182.88, 74,782.04 and 32,676.44 is: 45,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,182.88 : 74,782.04 = 32,676.44 : x
  2. Step 2: Convert to fraction form
    54,182.88/74,782.04 = 32,676.44/x
  3. Step 3: Cross multiply
    54,182.88x = 74,782.04 × 32,676.44
  4. Step 4: Simplify right side
    54,182.88x = 2,443,610,305.85
  5. Step 5: Solve for x
    x = 2,443,610,305.85/54,182.88
  6. Step 6: Final answer
    x = 45,099.31

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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.