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Finding the Fourth Proportional to 57,182.34, 85,769.40 and 17,738.43

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Solution

The fourth proportional to 57,182.34, 85,769.40 and 17,738.43 is: 26,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,182.34 : 85,769.40 = 17,738.43 : x
  2. Step 2: Convert to fraction form
    57,182.34/85,769.40 = 17,738.43/x
  3. Step 3: Cross multiply
    57,182.34x = 85,769.40 × 17,738.43
  4. Step 4: Simplify right side
    57,182.34x = 1,521,414,498.04
  5. Step 5: Solve for x
    x = 1,521,414,498.04/57,182.34
  6. Step 6: Final answer
    x = 26,606.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.