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Finding the Fourth Proportional to 43,542.80, 65,314.20 and 20,214.80

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Solution

The fourth proportional to 43,542.80, 65,314.20 and 20,214.80 is: 30,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,542.80 : 65,314.20 = 20,214.80 : x
  2. Step 2: Convert to fraction form
    43,542.80/65,314.20 = 20,214.80/x
  3. Step 3: Cross multiply
    43,542.80x = 65,314.20 × 20,214.80
  4. Step 4: Simplify right side
    43,542.80x = 1,320,313,490.16
  5. Step 5: Solve for x
    x = 1,320,313,490.16/43,542.80
  6. Step 6: Final answer
    x = 30,322.20

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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.