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Finding the Fourth Proportional to 38,102.94, 57,157.14 and 13,142.62

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Solution

The fourth proportional to 38,102.94, 57,157.14 and 13,142.62 is: 19,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.94 : 57,157.14 = 13,142.62 : x
  2. Step 2: Convert to fraction form
    38,102.94/57,157.14 = 13,142.62/x
  3. Step 3: Cross multiply
    38,102.94x = 57,157.14 × 13,142.62
  4. Step 4: Simplify right side
    38,102.94x = 751,194,692.04
  5. Step 5: Solve for x
    x = 751,194,692.04/38,102.94
  6. Step 6: Final answer
    x = 19,714.87

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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.