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Finding the Fourth Proportional to 55,196.54, 82,808.80 and 15,753.80

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Solution

The fourth proportional to 55,196.54, 82,808.80 and 15,753.80 is: 23,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,196.54 : 82,808.80 = 15,753.80 : x
  2. Step 2: Convert to fraction form
    55,196.54/82,808.80 = 15,753.80/x
  3. Step 3: Cross multiply
    55,196.54x = 82,808.80 × 15,753.80
  4. Step 4: Simplify right side
    55,196.54x = 1,304,553,273.44
  5. Step 5: Solve for x
    x = 1,304,553,273.44/55,196.54
  6. Step 6: Final answer
    x = 23,634.69

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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.