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Finding the Fourth Proportional to 54,920.80, 82,381.20 and 32,759.20

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Solution

The fourth proportional to 54,920.80, 82,381.20 and 32,759.20 is: 49,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,920.80 : 82,381.20 = 32,759.20 : x
  2. Step 2: Convert to fraction form
    54,920.80/82,381.20 = 32,759.20/x
  3. Step 3: Cross multiply
    54,920.80x = 82,381.20 × 32,759.20
  4. Step 4: Simplify right side
    54,920.80x = 2,698,742,207.04
  5. Step 5: Solve for x
    x = 2,698,742,207.04/54,920.80
  6. Step 6: Final answer
    x = 49,138.80

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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.