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Finding the Fourth Proportional to 83,953.84, 125,930.61 and 57,578.62

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Solution

The fourth proportional to 83,953.84, 125,930.61 and 57,578.62 is: 86,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,953.84 : 125,930.61 = 57,578.62 : x
  2. Step 2: Convert to fraction form
    83,953.84/125,930.61 = 57,578.62/x
  3. Step 3: Cross multiply
    83,953.84x = 125,930.61 × 57,578.62
  4. Step 4: Simplify right side
    83,953.84x = 7,250,910,739.56
  5. Step 5: Solve for x
    x = 7,250,910,739.56/83,953.84
  6. Step 6: Final answer
    x = 86,367.83

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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.