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Finding the Fourth Proportional to 80,409.28, 110,978.09 and 44,610.82

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Solution

The fourth proportional to 80,409.28, 110,978.09 and 44,610.82 is: 61,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,409.28 : 110,978.09 = 44,610.82 : x
  2. Step 2: Convert to fraction form
    80,409.28/110,978.09 = 44,610.82/x
  3. Step 3: Cross multiply
    80,409.28x = 110,978.09 × 44,610.82
  4. Step 4: Simplify right side
    80,409.28x = 4,950,824,138.91
  5. Step 5: Solve for x
    x = 4,950,824,138.91/80,409.28
  6. Step 6: Final answer
    x = 61,570.31

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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.