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Finding the Fourth Proportional to 83,171.81, 124,742.23 and 27,012.49

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Solution

The fourth proportional to 83,171.81, 124,742.23 and 27,012.49 is: 40,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,171.81 : 124,742.23 = 27,012.49 : x
  2. Step 2: Convert to fraction form
    83,171.81/124,742.23 = 27,012.49/x
  3. Step 3: Cross multiply
    83,171.81x = 124,742.23 × 27,012.49
  4. Step 4: Simplify right side
    83,171.81x = 3,369,597,861.07
  5. Step 5: Solve for x
    x = 3,369,597,861.07/83,171.81
  6. Step 6: Final answer
    x = 40,513.70

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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.