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Finding the Fourth Proportional to 80,822.66, 111,527.26 and 45,016

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Solution

The fourth proportional to 80,822.66, 111,527.26 and 45,016 is: 62,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,822.66 : 111,527.26 = 45,016 : x
  2. Step 2: Convert to fraction form
    80,822.66/111,527.26 = 45,016/x
  3. Step 3: Cross multiply
    80,822.66x = 111,527.26 × 45,016
  4. Step 4: Simplify right side
    80,822.66x = 5,020,511,136.16
  5. Step 5: Solve for x
    x = 5,020,511,136.16/80,822.66
  6. Step 6: Final answer
    x = 62,117.62

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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.