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Finding the Fourth Proportional to 51,740.48, 71,401.44 and 29,384

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Solution

The fourth proportional to 51,740.48, 71,401.44 and 29,384 is: 40,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,740.48 : 71,401.44 = 29,384 : x
  2. Step 2: Convert to fraction form
    51,740.48/71,401.44 = 29,384/x
  3. Step 3: Cross multiply
    51,740.48x = 71,401.44 × 29,384
  4. Step 4: Simplify right side
    51,740.48x = 2,098,059,912.96
  5. Step 5: Solve for x
    x = 2,098,059,912.96/51,740.48
  6. Step 6: Final answer
    x = 40,549.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.