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Finding the Fourth Proportional to 38,049.74, 57,073.23 and 11,754.50

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Solution

The fourth proportional to 38,049.74, 57,073.23 and 11,754.50 is: 17,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,049.74 : 57,073.23 = 11,754.50 : x
  2. Step 2: Convert to fraction form
    38,049.74/57,073.23 = 11,754.50/x
  3. Step 3: Cross multiply
    38,049.74x = 57,073.23 × 11,754.50
  4. Step 4: Simplify right side
    38,049.74x = 670,866,996.67
  5. Step 5: Solve for x
    x = 670,866,996.67/38,049.74
  6. Step 6: Final answer
    x = 17,631.32

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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.