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Finding the Fourth Proportional to 53,963.14, 80,944.80 and 14,519.20

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Solution

The fourth proportional to 53,963.14, 80,944.80 and 14,519.20 is: 21,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,963.14 : 80,944.80 = 14,519.20 : x
  2. Step 2: Convert to fraction form
    53,963.14/80,944.80 = 14,519.20/x
  3. Step 3: Cross multiply
    53,963.14x = 80,944.80 × 14,519.20
  4. Step 4: Simplify right side
    53,963.14x = 1,175,253,740.16
  5. Step 5: Solve for x
    x = 1,175,253,740.16/53,963.14
  6. Step 6: Final answer
    x = 21,778.82

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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.