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Finding the Fourth Proportional to 54,759.96, 82,148.79 and 21,461.96

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Solution

The fourth proportional to 54,759.96, 82,148.79 and 21,461.96 is: 32,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,759.96 : 82,148.79 = 21,461.96 : x
  2. Step 2: Convert to fraction form
    54,759.96/82,148.79 = 21,461.96/x
  3. Step 3: Cross multiply
    54,759.96x = 82,148.79 × 21,461.96
  4. Step 4: Simplify right side
    54,759.96x = 1,763,074,045.03
  5. Step 5: Solve for x
    x = 1,763,074,045.03/54,759.96
  6. Step 6: Final answer
    x = 32,196.41

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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.