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Finding the Fourth Proportional to 80,903.76, 111,650.98 and 45,094

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Solution

The fourth proportional to 80,903.76, 111,650.98 and 45,094 is: 62,231.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,903.76 : 111,650.98 = 45,094 : x
  2. Step 2: Convert to fraction form
    80,903.76/111,650.98 = 45,094/x
  3. Step 3: Cross multiply
    80,903.76x = 111,650.98 × 45,094
  4. Step 4: Simplify right side
    80,903.76x = 5,034,789,292.12
  5. Step 5: Solve for x
    x = 5,034,789,292.12/80,903.76
  6. Step 6: Final answer
    x = 62,231.83

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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.