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Finding the Fourth Proportional to 57,922.16, 79,914 and 32,424.78

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Solution

The fourth proportional to 57,922.16, 79,914 and 32,424.78 is: 44,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,922.16 : 79,914 = 32,424.78 : x
  2. Step 2: Convert to fraction form
    57,922.16/79,914 = 32,424.78/x
  3. Step 3: Cross multiply
    57,922.16x = 79,914 × 32,424.78
  4. Step 4: Simplify right side
    57,922.16x = 2,591,193,868.92
  5. Step 5: Solve for x
    x = 2,591,193,868.92/57,922.16
  6. Step 6: Final answer
    x = 44,735.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.