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Finding the Fourth Proportional to 54,847.21, 82,270.81 and 13,294.21

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Solution

The fourth proportional to 54,847.21, 82,270.81 and 13,294.21 is: 19,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,847.21 : 82,270.81 = 13,294.21 : x
  2. Step 2: Convert to fraction form
    54,847.21/82,270.81 = 13,294.21/x
  3. Step 3: Cross multiply
    54,847.21x = 82,270.81 × 13,294.21
  4. Step 4: Simplify right side
    54,847.21x = 1,093,725,425.01
  5. Step 5: Solve for x
    x = 1,093,725,425.01/54,847.21
  6. Step 6: Final answer
    x = 19,941.31

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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.