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Finding the Fourth Proportional to 38,523.70, 57,728.70 and 17,470.18

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Solution

The fourth proportional to 38,523.70, 57,728.70 and 17,470.18 is: 26,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523.70 : 57,728.70 = 17,470.18 : x
  2. Step 2: Convert to fraction form
    38,523.70/57,728.70 = 17,470.18/x
  3. Step 3: Cross multiply
    38,523.70x = 57,728.70 × 17,470.18
  4. Step 4: Simplify right side
    38,523.70x = 1,008,530,780.17
  5. Step 5: Solve for x
    x = 1,008,530,780.17/38,523.70
  6. Step 6: Final answer
    x = 26,179.49

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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.