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Finding the Fourth Proportional to 57,074.75, 85,612.40 and 20,138.75

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Solution

The fourth proportional to 57,074.75, 85,612.40 and 20,138.75 is: 30,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,074.75 : 85,612.40 = 20,138.75 : x
  2. Step 2: Convert to fraction form
    57,074.75/85,612.40 = 20,138.75/x
  3. Step 3: Cross multiply
    57,074.75x = 85,612.40 × 20,138.75
  4. Step 4: Simplify right side
    57,074.75x = 1,724,126,720.50
  5. Step 5: Solve for x
    x = 1,724,126,720.50/57,074.75
  6. Step 6: Final answer
    x = 30,208.22

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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.