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Finding the Fourth Proportional to 76,082.36, 114,234.32 and 54,012.92

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Solution

The fourth proportional to 76,082.36, 114,234.32 and 54,012.92 is: 81,098.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,082.36 : 114,234.32 = 54,012.92 : x
  2. Step 2: Convert to fraction form
    76,082.36/114,234.32 = 54,012.92/x
  3. Step 3: Cross multiply
    76,082.36x = 114,234.32 × 54,012.92
  4. Step 4: Simplify right side
    76,082.36x = 6,170,129,187.41
  5. Step 5: Solve for x
    x = 6,170,129,187.41/76,082.36
  6. Step 6: Final answer
    x = 81,098.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.