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Finding the Fourth Proportional to 57,825.82, 79,492.97 and 49,729.78

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Solution

The fourth proportional to 57,825.82, 79,492.97 and 49,729.78 is: 68,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,825.82 : 79,492.97 = 49,729.78 : x
  2. Step 2: Convert to fraction form
    57,825.82/79,492.97 = 49,729.78/x
  3. Step 3: Cross multiply
    57,825.82x = 79,492.97 × 49,729.78
  4. Step 4: Simplify right side
    57,825.82x = 3,953,167,909.65
  5. Step 5: Solve for x
    x = 3,953,167,909.65/57,825.82
  6. Step 6: Final answer
    x = 68,363.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.