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Finding the Fourth Proportional to 71,527.73, 107,291.61 and 27,143.96

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Solution

The fourth proportional to 71,527.73, 107,291.61 and 27,143.96 is: 40,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,527.73 : 107,291.61 = 27,143.96 : x
  2. Step 2: Convert to fraction form
    71,527.73/107,291.61 = 27,143.96/x
  3. Step 3: Cross multiply
    71,527.73x = 107,291.61 × 27,143.96
  4. Step 4: Simplify right side
    71,527.73x = 2,912,318,633.72
  5. Step 5: Solve for x
    x = 2,912,318,633.72/71,527.73
  6. Step 6: Final answer
    x = 40,715.94

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Why These Related Problems?

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