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Finding the Fourth Proportional to 54,491.38, 75,198.78 and 32,980.86

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Solution

The fourth proportional to 54,491.38, 75,198.78 and 32,980.86 is: 45,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,491.38 : 75,198.78 = 32,980.86 : x
  2. Step 2: Convert to fraction form
    54,491.38/75,198.78 = 32,980.86/x
  3. Step 3: Cross multiply
    54,491.38x = 75,198.78 × 32,980.86
  4. Step 4: Simplify right side
    54,491.38x = 2,480,120,435.35
  5. Step 5: Solve for x
    x = 2,480,120,435.35/54,491.38
  6. Step 6: Final answer
    x = 45,514.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.