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Finding the Fourth Proportional to 80,852.14, 111,576.02 and 45,042.24

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Solution

The fourth proportional to 80,852.14, 111,576.02 and 45,042.24 is: 62,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,852.14 : 111,576.02 = 45,042.24 : x
  2. Step 2: Convert to fraction form
    80,852.14/111,576.02 = 45,042.24/x
  3. Step 3: Cross multiply
    80,852.14x = 111,576.02 × 45,042.24
  4. Step 4: Simplify right side
    80,852.14x = 5,025,633,871.08
  5. Step 5: Solve for x
    x = 5,025,633,871.08/80,852.14
  6. Step 6: Final answer
    x = 62,158.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.