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Finding the Fourth Proportional to 55,250.96, 82,876.41 and 13,697.96

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Solution

The fourth proportional to 55,250.96, 82,876.41 and 13,697.96 is: 20,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,250.96 : 82,876.41 = 13,697.96 : x
  2. Step 2: Convert to fraction form
    55,250.96/82,876.41 = 13,697.96/x
  3. Step 3: Cross multiply
    55,250.96x = 82,876.41 × 13,697.96
  4. Step 4: Simplify right side
    55,250.96x = 1,135,237,749.12
  5. Step 5: Solve for x
    x = 1,135,237,749.12/55,250.96
  6. Step 6: Final answer
    x = 20,546.93

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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.