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Finding the Fourth Proportional to 38,245.34, 57,327 and 18,496.74

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Solution

The fourth proportional to 38,245.34, 57,327 and 18,496.74 is: 27,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245.34 : 57,327 = 18,496.74 : x
  2. Step 2: Convert to fraction form
    38,245.34/57,327 = 18,496.74/x
  3. Step 3: Cross multiply
    38,245.34x = 57,327 × 18,496.74
  4. Step 4: Simplify right side
    38,245.34x = 1,060,362,613.98
  5. Step 5: Solve for x
    x = 1,060,362,613.98/38,245.34
  6. Step 6: Final answer
    x = 27,725.28

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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.