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Finding the Fourth Proportional to 55,180.78, 82,778.73 and 17,731.96

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Solution

The fourth proportional to 55,180.78, 82,778.73 and 17,731.96 is: 26,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,180.78 : 82,778.73 = 17,731.96 : x
  2. Step 2: Convert to fraction form
    55,180.78/82,778.73 = 17,731.96/x
  3. Step 3: Cross multiply
    55,180.78x = 82,778.73 × 17,731.96
  4. Step 4: Simplify right side
    55,180.78x = 1,467,829,129.21
  5. Step 5: Solve for x
    x = 1,467,829,129.21/55,180.78
  6. Step 6: Final answer
    x = 26,600.37

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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.