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Finding the Fourth Proportional to 107,944.80, 161,928 and 33,064.08

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Solution

The fourth proportional to 107,944.80, 161,928 and 33,064.08 is: 49,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,944.80 : 161,928 = 33,064.08 : x
  2. Step 2: Convert to fraction form
    107,944.80/161,928 = 33,064.08/x
  3. Step 3: Cross multiply
    107,944.80x = 161,928 × 33,064.08
  4. Step 4: Simplify right side
    107,944.80x = 5,354,000,346.24
  5. Step 5: Solve for x
    x = 5,354,000,346.24/107,944.80
  6. Step 6: Final answer
    x = 49,599.43

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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.