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Finding the Fourth Proportional to 80,388.80, 110,932.32 and 44,576

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Solution

The fourth proportional to 80,388.80, 110,932.32 and 44,576 is: 61,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,388.80 : 110,932.32 = 44,576 : x
  2. Step 2: Convert to fraction form
    80,388.80/110,932.32 = 44,576/x
  3. Step 3: Cross multiply
    80,388.80x = 110,932.32 × 44,576
  4. Step 4: Simplify right side
    80,388.80x = 4,944,919,096.32
  5. Step 5: Solve for x
    x = 4,944,919,096.32/80,388.80
  6. Step 6: Final answer
    x = 61,512.54

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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.