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Finding the Fourth Proportional to 38,489.90, 57,720.45 and 13,520.30

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Solution

The fourth proportional to 38,489.90, 57,720.45 and 13,520.30 is: 20,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489.90 : 57,720.45 = 13,520.30 : x
  2. Step 2: Convert to fraction form
    38,489.90/57,720.45 = 13,520.30/x
  3. Step 3: Cross multiply
    38,489.90x = 57,720.45 × 13,520.30
  4. Step 4: Simplify right side
    38,489.90x = 780,397,800.14
  5. Step 5: Solve for x
    x = 780,397,800.14/38,489.90
  6. Step 6: Final answer
    x = 20,275.39

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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.