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Finding the Fourth Proportional to 55,149.81, 82,716.91 and 17,704.96

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Solution

The fourth proportional to 55,149.81, 82,716.91 and 17,704.96 is: 26,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,149.81 : 82,716.91 = 17,704.96 : x
  2. Step 2: Convert to fraction form
    55,149.81/82,716.91 = 17,704.96/x
  3. Step 3: Cross multiply
    55,149.81x = 82,716.91 × 17,704.96
  4. Step 4: Simplify right side
    55,149.81x = 1,464,499,331.82
  5. Step 5: Solve for x
    x = 1,464,499,331.82/55,149.81
  6. Step 6: Final answer
    x = 26,554.93

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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.