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Finding the Fourth Proportional to 55,713.54, 83,491.74 and 30,764.82

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Solution

The fourth proportional to 55,713.54, 83,491.74 and 30,764.82 is: 46,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,713.54 : 83,491.74 = 30,764.82 : x
  2. Step 2: Convert to fraction form
    55,713.54/83,491.74 = 30,764.82/x
  3. Step 3: Cross multiply
    55,713.54x = 83,491.74 × 30,764.82
  4. Step 4: Simplify right side
    55,713.54x = 2,568,608,638.23
  5. Step 5: Solve for x
    x = 2,568,608,638.23/55,713.54
  6. Step 6: Final answer
    x = 46,103.85

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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.