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Finding the Fourth Proportional to 57,676.24, 86,474.40 and 22,619.44

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Solution

The fourth proportional to 57,676.24, 86,474.40 and 22,619.44 is: 33,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,676.24 : 86,474.40 = 22,619.44 : x
  2. Step 2: Convert to fraction form
    57,676.24/86,474.40 = 22,619.44/x
  3. Step 3: Cross multiply
    57,676.24x = 86,474.40 × 22,619.44
  4. Step 4: Simplify right side
    57,676.24x = 1,956,002,502.34
  5. Step 5: Solve for x
    x = 1,956,002,502.34/57,676.24
  6. Step 6: Final answer
    x = 33,913.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.