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Finding the Fourth Proportional to 51,958.40, 71,685.40 and 29,294.56

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Solution

The fourth proportional to 51,958.40, 71,685.40 and 29,294.56 is: 40,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,958.40 : 71,685.40 = 29,294.56 : x
  2. Step 2: Convert to fraction form
    51,958.40/71,685.40 = 29,294.56/x
  3. Step 3: Cross multiply
    51,958.40x = 71,685.40 × 29,294.56
  4. Step 4: Simplify right side
    51,958.40x = 2,099,992,251.42
  5. Step 5: Solve for x
    x = 2,099,992,251.42/51,958.40
  6. Step 6: Final answer
    x = 40,416.80

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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.