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Finding the Fourth Proportional to 54,871.40, 82,241.49 and 25,259.42

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Solution

The fourth proportional to 54,871.40, 82,241.49 and 25,259.42 is: 37,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871.40 : 82,241.49 = 25,259.42 : x
  2. Step 2: Convert to fraction form
    54,871.40/82,241.49 = 25,259.42/x
  3. Step 3: Cross multiply
    54,871.40x = 82,241.49 × 25,259.42
  4. Step 4: Simplify right side
    54,871.40x = 2,077,372,337.34
  5. Step 5: Solve for x
    x = 2,077,372,337.34/54,871.40
  6. Step 6: Final answer
    x = 37,858.93

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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.