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Finding the Fourth Proportional to 55,296.87, 82,945.26 and 13,743.87

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Solution

The fourth proportional to 55,296.87, 82,945.26 and 13,743.87 is: 20,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,296.87 : 82,945.26 = 13,743.87 : x
  2. Step 2: Convert to fraction form
    55,296.87/82,945.26 = 13,743.87/x
  3. Step 3: Cross multiply
    55,296.87x = 82,945.26 × 13,743.87
  4. Step 4: Simplify right side
    55,296.87x = 1,139,988,870.56
  5. Step 5: Solve for x
    x = 1,139,988,870.56/55,296.87
  6. Step 6: Final answer
    x = 20,615.79

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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.