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Finding the Fourth Proportional to 55,751.87, 83,606.01 and 20,204.75

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Solution

The fourth proportional to 55,751.87, 83,606.01 and 20,204.75 is: 30,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,751.87 : 83,606.01 = 20,204.75 : x
  2. Step 2: Convert to fraction form
    55,751.87/83,606.01 = 20,204.75/x
  3. Step 3: Cross multiply
    55,751.87x = 83,606.01 × 20,204.75
  4. Step 4: Simplify right side
    55,751.87x = 1,689,238,112.52
  5. Step 5: Solve for x
    x = 1,689,238,112.52/55,751.87
  6. Step 6: Final answer
    x = 30,299.22

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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.