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Finding the Fourth Proportional to 52,708.41, 79,046.34 and 27,734.89

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Solution

The fourth proportional to 52,708.41, 79,046.34 and 27,734.89 is: 41,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,708.41 : 79,046.34 = 27,734.89 : x
  2. Step 2: Convert to fraction form
    52,708.41/79,046.34 = 27,734.89/x
  3. Step 3: Cross multiply
    52,708.41x = 79,046.34 × 27,734.89
  4. Step 4: Simplify right side
    52,708.41x = 2,192,341,475.47
  5. Step 5: Solve for x
    x = 2,192,341,475.47/52,708.41
  6. Step 6: Final answer
    x = 41,593.77

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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.