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Finding the Fourth Proportional to 54,847.52, 82,271.01 and 13,294.52

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Solution

The fourth proportional to 54,847.52, 82,271.01 and 13,294.52 is: 19,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,847.52 : 82,271.01 = 13,294.52 : x
  2. Step 2: Convert to fraction form
    54,847.52/82,271.01 = 13,294.52/x
  3. Step 3: Cross multiply
    54,847.52x = 82,271.01 × 13,294.52
  4. Step 4: Simplify right side
    54,847.52x = 1,093,753,587.87
  5. Step 5: Solve for x
    x = 1,093,753,587.87/54,847.52
  6. Step 6: Final answer
    x = 19,941.71

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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.