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Finding the Fourth Proportional to 83,245.91, 114,879.17 and 45,005.46

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Solution

The fourth proportional to 83,245.91, 114,879.17 and 45,005.46 is: 62,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,245.91 : 114,879.17 = 45,005.46 : x
  2. Step 2: Convert to fraction form
    83,245.91/114,879.17 = 45,005.46/x
  3. Step 3: Cross multiply
    83,245.91x = 114,879.17 × 45,005.46
  4. Step 4: Simplify right side
    83,245.91x = 5,170,189,665.24
  5. Step 5: Solve for x
    x = 5,170,189,665.24/83,245.91
  6. Step 6: Final answer
    x = 62,107.44

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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.