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Finding the Fourth Proportional to 55,177.56, 82,751.76 and 15,736.92

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Solution

The fourth proportional to 55,177.56, 82,751.76 and 15,736.92 is: 23,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,177.56 : 82,751.76 = 15,736.92 : x
  2. Step 2: Convert to fraction form
    55,177.56/82,751.76 = 15,736.92/x
  3. Step 3: Cross multiply
    55,177.56x = 82,751.76 × 15,736.92
  4. Step 4: Simplify right side
    55,177.56x = 1,302,257,826.98
  5. Step 5: Solve for x
    x = 1,302,257,826.98/55,177.56
  6. Step 6: Final answer
    x = 23,601.22

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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.