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Finding the Fourth Proportional to 37,162.36, 55,744.26 and 9,082.48

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Solution

The fourth proportional to 37,162.36, 55,744.26 and 9,082.48 is: 13,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,162.36 : 55,744.26 = 9,082.48 : x
  2. Step 2: Convert to fraction form
    37,162.36/55,744.26 = 9,082.48/x
  3. Step 3: Cross multiply
    37,162.36x = 55,744.26 × 9,082.48
  4. Step 4: Simplify right side
    37,162.36x = 506,296,126.56
  5. Step 5: Solve for x
    x = 506,296,126.56/37,162.36
  6. Step 6: Final answer
    x = 13,623.90

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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.