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Finding the Fourth Proportional to 57,194.72, 85,764 and 17,744.48

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Solution

The fourth proportional to 57,194.72, 85,764 and 17,744.48 is: 26,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,194.72 : 85,764 = 17,744.48 : x
  2. Step 2: Convert to fraction form
    57,194.72/85,764 = 17,744.48/x
  3. Step 3: Cross multiply
    57,194.72x = 85,764 × 17,744.48
  4. Step 4: Simplify right side
    57,194.72x = 1,521,837,582.72
  5. Step 5: Solve for x
    x = 1,521,837,582.72/57,194.72
  6. Step 6: Final answer
    x = 26,608.01

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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.