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Finding the Fourth Proportional to 58,893.56, 81,270.78 and 33,738.20

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Solution

The fourth proportional to 58,893.56, 81,270.78 and 33,738.20 is: 46,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,893.56 : 81,270.78 = 33,738.20 : x
  2. Step 2: Convert to fraction form
    58,893.56/81,270.78 = 33,738.20/x
  3. Step 3: Cross multiply
    58,893.56x = 81,270.78 × 33,738.20
  4. Step 4: Simplify right side
    58,893.56x = 2,741,929,829.80
  5. Step 5: Solve for x
    x = 2,741,929,829.80/58,893.56
  6. Step 6: Final answer
    x = 46,557.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.