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Finding the Fourth Proportional to 43,470.30, 65,205.45 and 20,142.30

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Solution

The fourth proportional to 43,470.30, 65,205.45 and 20,142.30 is: 30,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,470.30 : 65,205.45 = 20,142.30 : x
  2. Step 2: Convert to fraction form
    43,470.30/65,205.45 = 20,142.30/x
  3. Step 3: Cross multiply
    43,470.30x = 65,205.45 × 20,142.30
  4. Step 4: Simplify right side
    43,470.30x = 1,313,387,735.54
  5. Step 5: Solve for x
    x = 1,313,387,735.54/43,470.30
  6. Step 6: Final answer
    x = 30,213.45

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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.