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Finding the Fourth Proportional to 83,953.44, 115,819.20 and 50,400

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Solution

The fourth proportional to 83,953.44, 115,819.20 and 50,400 is: 69,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,953.44 : 115,819.20 = 50,400 : x
  2. Step 2: Convert to fraction form
    83,953.44/115,819.20 = 50,400/x
  3. Step 3: Cross multiply
    83,953.44x = 115,819.20 × 50,400
  4. Step 4: Simplify right side
    83,953.44x = 5,837,287,680
  5. Step 5: Solve for x
    x = 5,837,287,680/83,953.44
  6. Step 6: Final answer
    x = 69,530.06

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