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Finding the Fourth Proportional to 74,083.20, 111,027.60 and 29,673.60

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Solution

The fourth proportional to 74,083.20, 111,027.60 and 29,673.60 is: 44,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,083.20 : 111,027.60 = 29,673.60 : x
  2. Step 2: Convert to fraction form
    74,083.20/111,027.60 = 29,673.60/x
  3. Step 3: Cross multiply
    74,083.20x = 111,027.60 × 29,673.60
  4. Step 4: Simplify right side
    74,083.20x = 3,294,588,591.36
  5. Step 5: Solve for x
    x = 3,294,588,591.36/74,083.20
  6. Step 6: Final answer
    x = 44,471.47

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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.