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Finding the Fourth Proportional to 57,194.48, 85,791.72 and 17,741

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Solution

The fourth proportional to 57,194.48, 85,791.72 and 17,741 is: 26,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,194.48 : 85,791.72 = 17,741 : x
  2. Step 2: Convert to fraction form
    57,194.48/85,791.72 = 17,741/x
  3. Step 3: Cross multiply
    57,194.48x = 85,791.72 × 17,741
  4. Step 4: Simplify right side
    57,194.48x = 1,522,030,904.52
  5. Step 5: Solve for x
    x = 1,522,030,904.52/57,194.48
  6. Step 6: Final answer
    x = 26,611.50

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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.