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Finding the Fourth Proportional to 82,257.36, 113,514.96 and 44,531.52

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Solution

The fourth proportional to 82,257.36, 113,514.96 and 44,531.52 is: 61,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,257.36 : 113,514.96 = 44,531.52 : x
  2. Step 2: Convert to fraction form
    82,257.36/113,514.96 = 44,531.52/x
  3. Step 3: Cross multiply
    82,257.36x = 113,514.96 × 44,531.52
  4. Step 4: Simplify right side
    82,257.36x = 5,054,993,711.54
  5. Step 5: Solve for x
    x = 5,054,993,711.54/82,257.36
  6. Step 6: Final answer
    x = 61,453.39

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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.