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Finding the Fourth Proportional to 89,856.66, 134,796.96 and 30,676.44

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Solution

The fourth proportional to 89,856.66, 134,796.96 and 30,676.44 is: 46,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,856.66 : 134,796.96 = 30,676.44 : x
  2. Step 2: Convert to fraction form
    89,856.66/134,796.96 = 30,676.44/x
  3. Step 3: Cross multiply
    89,856.66x = 134,796.96 × 30,676.44
  4. Step 4: Simplify right side
    89,856.66x = 4,135,090,855.62
  5. Step 5: Solve for x
    x = 4,135,090,855.62/89,856.66
  6. Step 6: Final answer
    x = 46,018.75

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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.