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Finding the Fourth Proportional to 54,932.46, 82,442.46 and 21,660.90

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Solution

The fourth proportional to 54,932.46, 82,442.46 and 21,660.90 is: 32,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,932.46 : 82,442.46 = 21,660.90 : x
  2. Step 2: Convert to fraction form
    54,932.46/82,442.46 = 21,660.90/x
  3. Step 3: Cross multiply
    54,932.46x = 82,442.46 × 21,660.90
  4. Step 4: Simplify right side
    54,932.46x = 1,785,777,881.81
  5. Step 5: Solve for x
    x = 1,785,777,881.81/54,932.46
  6. Step 6: Final answer
    x = 32,508.61

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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.