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Finding the Fourth Proportional to 54,142.40, 81,213.60 and 30,814.40

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Solution

The fourth proportional to 54,142.40, 81,213.60 and 30,814.40 is: 46,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,142.40 : 81,213.60 = 30,814.40 : x
  2. Step 2: Convert to fraction form
    54,142.40/81,213.60 = 30,814.40/x
  3. Step 3: Cross multiply
    54,142.40x = 81,213.60 × 30,814.40
  4. Step 4: Simplify right side
    54,142.40x = 2,502,548,355.84
  5. Step 5: Solve for x
    x = 2,502,548,355.84/54,142.40
  6. Step 6: Final answer
    x = 46,221.60

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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.