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Finding the Fourth Proportional to 71,676.75, 107,502.54 and 27,306.16

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Solution

The fourth proportional to 71,676.75, 107,502.54 and 27,306.16 is: 40,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,676.75 : 107,502.54 = 27,306.16 : x
  2. Step 2: Convert to fraction form
    71,676.75/107,502.54 = 27,306.16/x
  3. Step 3: Cross multiply
    71,676.75x = 107,502.54 × 27,306.16
  4. Step 4: Simplify right side
    71,676.75x = 2,935,481,557.65
  5. Step 5: Solve for x
    x = 2,935,481,557.65/71,676.75
  6. Step 6: Final answer
    x = 40,954.45

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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.