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Finding the Fourth Proportional to 52,949.70, 79,375.14 and 17,864.82

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Solution

The fourth proportional to 52,949.70, 79,375.14 and 17,864.82 is: 26,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,949.70 : 79,375.14 = 17,864.82 : x
  2. Step 2: Convert to fraction form
    52,949.70/79,375.14 = 17,864.82/x
  3. Step 3: Cross multiply
    52,949.70x = 79,375.14 × 17,864.82
  4. Step 4: Simplify right side
    52,949.70x = 1,418,022,588.57
  5. Step 5: Solve for x
    x = 1,418,022,588.57/52,949.70
  6. Step 6: Final answer
    x = 26,780.56

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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.