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Finding the Fourth Proportional to 52,930.94, 79,378.79 and 15,493.14

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Solution

The fourth proportional to 52,930.94, 79,378.79 and 15,493.14 is: 23,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,930.94 : 79,378.79 = 15,493.14 : x
  2. Step 2: Convert to fraction form
    52,930.94/79,378.79 = 15,493.14/x
  3. Step 3: Cross multiply
    52,930.94x = 79,378.79 × 15,493.14
  4. Step 4: Simplify right side
    52,930.94x = 1,229,826,629.03
  5. Step 5: Solve for x
    x = 1,229,826,629.03/52,930.94
  6. Step 6: Final answer
    x = 23,234.55

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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.