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Finding the Fourth Proportional to 57,446.80, 85,716.26 and 49,670.80

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Solution

The fourth proportional to 57,446.80, 85,716.26 and 49,670.80 is: 74,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,446.80 : 85,716.26 = 49,670.80 : x
  2. Step 2: Convert to fraction form
    57,446.80/85,716.26 = 49,670.80/x
  3. Step 3: Cross multiply
    57,446.80x = 85,716.26 × 49,670.80
  4. Step 4: Simplify right side
    57,446.80x = 4,257,595,207.21
  5. Step 5: Solve for x
    x = 4,257,595,207.21/57,446.80
  6. Step 6: Final answer
    x = 74,113.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.