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Finding the Fourth Proportional to 54,847.56, 82,271.34 and 13,294.56

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Solution

The fourth proportional to 54,847.56, 82,271.34 and 13,294.56 is: 19,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,847.56 : 82,271.34 = 13,294.56 : x
  2. Step 2: Convert to fraction form
    54,847.56/82,271.34 = 13,294.56/x
  3. Step 3: Cross multiply
    54,847.56x = 82,271.34 × 13,294.56
  4. Step 4: Simplify right side
    54,847.56x = 1,093,761,265.91
  5. Step 5: Solve for x
    x = 1,093,761,265.91/54,847.56
  6. Step 6: Final answer
    x = 19,941.84

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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.