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Finding the Fourth Proportional to 107,449.56, 161,174.16 and 28,563.80

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Solution

The fourth proportional to 107,449.56, 161,174.16 and 28,563.80 is: 42,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,449.56 : 161,174.16 = 28,563.80 : x
  2. Step 2: Convert to fraction form
    107,449.56/161,174.16 = 28,563.80/x
  3. Step 3: Cross multiply
    107,449.56x = 161,174.16 × 28,563.80
  4. Step 4: Simplify right side
    107,449.56x = 4,603,745,665.54
  5. Step 5: Solve for x
    x = 4,603,745,665.54/107,449.56
  6. Step 6: Final answer
    x = 42,845.64

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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.