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Finding the Fourth Proportional to 54,753.78, 82,176.83 and 21,497.20

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Solution

The fourth proportional to 54,753.78, 82,176.83 and 21,497.20 is: 32,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,753.78 : 82,176.83 = 21,497.20 : x
  2. Step 2: Convert to fraction form
    54,753.78/82,176.83 = 21,497.20/x
  3. Step 3: Cross multiply
    54,753.78x = 82,176.83 × 21,497.20
  4. Step 4: Simplify right side
    54,753.78x = 1,766,571,749.88
  5. Step 5: Solve for x
    x = 1,766,571,749.88/54,753.78
  6. Step 6: Final answer
    x = 32,263.92

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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.