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Finding the Fourth Proportional to 38,065.68, 57,102.35 and 13,102.44

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Solution

The fourth proportional to 38,065.68, 57,102.35 and 13,102.44 is: 19,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,065.68 : 57,102.35 = 13,102.44 : x
  2. Step 2: Convert to fraction form
    38,065.68/57,102.35 = 13,102.44/x
  3. Step 3: Cross multiply
    38,065.68x = 57,102.35 × 13,102.44
  4. Step 4: Simplify right side
    38,065.68x = 748,180,049.22
  5. Step 5: Solve for x
    x = 748,180,049.22/38,065.68
  6. Step 6: Final answer
    x = 19,654.98

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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.