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Finding the Fourth Proportional to 107,884.40, 161,797.80 and 33,004.40

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Solution

The fourth proportional to 107,884.40, 161,797.80 and 33,004.40 is: 49,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,884.40 : 161,797.80 = 33,004.40 : x
  2. Step 2: Convert to fraction form
    107,884.40/161,797.80 = 33,004.40/x
  3. Step 3: Cross multiply
    107,884.40x = 161,797.80 × 33,004.40
  4. Step 4: Simplify right side
    107,884.40x = 5,340,039,310.32
  5. Step 5: Solve for x
    x = 5,340,039,310.32/107,884.40
  6. Step 6: Final answer
    x = 49,497.79

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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.