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Finding the Fourth Proportional to 71,894.12, 107,855.76 and 25,179.80

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Solution

The fourth proportional to 71,894.12, 107,855.76 and 25,179.80 is: 37,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,894.12 : 107,855.76 = 25,179.80 : x
  2. Step 2: Convert to fraction form
    71,894.12/107,855.76 = 25,179.80/x
  3. Step 3: Cross multiply
    71,894.12x = 107,855.76 × 25,179.80
  4. Step 4: Simplify right side
    71,894.12x = 2,715,786,465.65
  5. Step 5: Solve for x
    x = 2,715,786,465.65/71,894.12
  6. Step 6: Final answer
    x = 37,774.81

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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.