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Finding the Fourth Proportional to 55,906.47, 83,749.01 and 36,198.90

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Solution

The fourth proportional to 55,906.47, 83,749.01 and 36,198.90 is: 54,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906.47 : 83,749.01 = 36,198.90 : x
  2. Step 2: Convert to fraction form
    55,906.47/83,749.01 = 36,198.90/x
  3. Step 3: Cross multiply
    55,906.47x = 83,749.01 × 36,198.90
  4. Step 4: Simplify right side
    55,906.47x = 3,031,621,857.09
  5. Step 5: Solve for x
    x = 3,031,621,857.09/55,906.47
  6. Step 6: Final answer
    x = 54,226.67

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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.