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Finding the Fourth Proportional to 55,201.59, 82,793.50 and 15,749.48

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Solution

The fourth proportional to 55,201.59, 82,793.50 and 15,749.48 is: 23,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,201.59 : 82,793.50 = 15,749.48 : x
  2. Step 2: Convert to fraction form
    55,201.59/82,793.50 = 15,749.48/x
  3. Step 3: Cross multiply
    55,201.59x = 82,793.50 × 15,749.48
  4. Step 4: Simplify right side
    55,201.59x = 1,303,954,739.99
  5. Step 5: Solve for x
    x = 1,303,954,739.99/55,201.59
  6. Step 6: Final answer
    x = 23,621.69

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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.