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Finding the Fourth Proportional to 57,016.68, 78,676.92 and 33,138.36

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Solution

The fourth proportional to 57,016.68, 78,676.92 and 33,138.36 is: 45,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,016.68 : 78,676.92 = 33,138.36 : x
  2. Step 2: Convert to fraction form
    57,016.68/78,676.92 = 33,138.36/x
  3. Step 3: Cross multiply
    57,016.68x = 78,676.92 × 33,138.36
  4. Step 4: Simplify right side
    57,016.68x = 2,607,224,098.65
  5. Step 5: Solve for x
    x = 2,607,224,098.65/57,016.68
  6. Step 6: Final answer
    x = 45,727.39

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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.