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Finding the Fourth Proportional to 38,102.70, 57,173.50 and 18,398.10

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Solution

The fourth proportional to 38,102.70, 57,173.50 and 18,398.10 is: 27,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.70 : 57,173.50 = 18,398.10 : x
  2. Step 2: Convert to fraction form
    38,102.70/57,173.50 = 18,398.10/x
  3. Step 3: Cross multiply
    38,102.70x = 57,173.50 × 18,398.10
  4. Step 4: Simplify right side
    38,102.70x = 1,051,883,770.35
  5. Step 5: Solve for x
    x = 1,051,883,770.35/38,102.70
  6. Step 6: Final answer
    x = 27,606.54

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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.