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Finding the Fourth Proportional to 83,442.44, 115,150.82 and 45,202.38

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Solution

The fourth proportional to 83,442.44, 115,150.82 and 45,202.38 is: 62,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,442.44 : 115,150.82 = 45,202.38 : x
  2. Step 2: Convert to fraction form
    83,442.44/115,150.82 = 45,202.38/x
  3. Step 3: Cross multiply
    83,442.44x = 115,150.82 × 45,202.38
  4. Step 4: Simplify right side
    83,442.44x = 5,205,090,896.94
  5. Step 5: Solve for x
    x = 5,205,090,896.94/83,442.44
  6. Step 6: Final answer
    x = 62,379.42

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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.