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Finding the Fourth Proportional to 103,773.78, 155,682.54 and 33,647.63

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Solution

The fourth proportional to 103,773.78, 155,682.54 and 33,647.63 is: 50,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,773.78 : 155,682.54 = 33,647.63 : x
  2. Step 2: Convert to fraction form
    103,773.78/155,682.54 = 33,647.63/x
  3. Step 3: Cross multiply
    103,773.78x = 155,682.54 × 33,647.63
  4. Step 4: Simplify right side
    103,773.78x = 5,238,347,724.97
  5. Step 5: Solve for x
    x = 5,238,347,724.97/103,773.78
  6. Step 6: Final answer
    x = 50,478.53

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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.