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Finding the Fourth Proportional to 54,148.20, 81,299.10 and 33,412.20

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Solution

The fourth proportional to 54,148.20, 81,299.10 and 33,412.20 is: 50,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,148.20 : 81,299.10 = 33,412.20 : x
  2. Step 2: Convert to fraction form
    54,148.20/81,299.10 = 33,412.20/x
  3. Step 3: Cross multiply
    54,148.20x = 81,299.10 × 33,412.20
  4. Step 4: Simplify right side
    54,148.20x = 2,716,381,789.02
  5. Step 5: Solve for x
    x = 2,716,381,789.02/54,148.20
  6. Step 6: Final answer
    x = 50,165.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.