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Finding the Fourth Proportional to 57,132.40, 85,698.60 and 40,219.60

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Solution

The fourth proportional to 57,132.40, 85,698.60 and 40,219.60 is: 60,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,132.40 : 85,698.60 = 40,219.60 : x
  2. Step 2: Convert to fraction form
    57,132.40/85,698.60 = 40,219.60/x
  3. Step 3: Cross multiply
    57,132.40x = 85,698.60 × 40,219.60
  4. Step 4: Simplify right side
    57,132.40x = 3,446,763,412.56
  5. Step 5: Solve for x
    x = 3,446,763,412.56/57,132.40
  6. Step 6: Final answer
    x = 60,329.40

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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.