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Finding the Fourth Proportional to 54,871.98, 82,306.80 and 25,289.82

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Solution

The fourth proportional to 54,871.98, 82,306.80 and 25,289.82 is: 37,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871.98 : 82,306.80 = 25,289.82 : x
  2. Step 2: Convert to fraction form
    54,871.98/82,306.80 = 25,289.82/x
  3. Step 3: Cross multiply
    54,871.98x = 82,306.80 × 25,289.82
  4. Step 4: Simplify right side
    54,871.98x = 2,081,523,942.96
  5. Step 5: Solve for x
    x = 2,081,523,942.96/54,871.98
  6. Step 6: Final answer
    x = 37,934.19

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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.