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Finding the Fourth Proportional to 38,533.73, 57,809.84 and 12,238.49

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Solution

The fourth proportional to 38,533.73, 57,809.84 and 12,238.49 is: 18,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,533.73 : 57,809.84 = 12,238.49 : x
  2. Step 2: Convert to fraction form
    38,533.73/57,809.84 = 12,238.49/x
  3. Step 3: Cross multiply
    38,533.73x = 57,809.84 × 12,238.49
  4. Step 4: Simplify right side
    38,533.73x = 707,505,232.07
  5. Step 5: Solve for x
    x = 707,505,232.07/38,533.73
  6. Step 6: Final answer
    x = 18,360.68

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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.