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Finding the Fourth Proportional to 54,874.27, 82,254.90 and 21,580.84

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Solution

The fourth proportional to 54,874.27, 82,254.90 and 21,580.84 is: 32,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,874.27 : 82,254.90 = 21,580.84 : x
  2. Step 2: Convert to fraction form
    54,874.27/82,254.90 = 21,580.84/x
  3. Step 3: Cross multiply
    54,874.27x = 82,254.90 × 21,580.84
  4. Step 4: Simplify right side
    54,874.27x = 1,775,129,711.41
  5. Step 5: Solve for x
    x = 1,775,129,711.41/54,874.27
  6. Step 6: Final answer
    x = 32,349.04

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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.