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Finding the Fourth Proportional to 38,524.56, 57,785.99 and 17,748.06

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Solution

The fourth proportional to 38,524.56, 57,785.99 and 17,748.06 is: 26,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,524.56 : 57,785.99 = 17,748.06 : x
  2. Step 2: Convert to fraction form
    38,524.56/57,785.99 = 17,748.06/x
  3. Step 3: Cross multiply
    38,524.56x = 57,785.99 × 17,748.06
  4. Step 4: Simplify right side
    38,524.56x = 1,025,589,128.94
  5. Step 5: Solve for x
    x = 1,025,589,128.94/38,524.56
  6. Step 6: Final answer
    x = 26,621.70

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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.