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Finding the Fourth Proportional to 38,327.50, 57,491.77 and 12,032.25

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Solution

The fourth proportional to 38,327.50, 57,491.77 and 12,032.25 is: 18,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,327.50 : 57,491.77 = 12,032.25 : x
  2. Step 2: Convert to fraction form
    38,327.50/57,491.77 = 12,032.25/x
  3. Step 3: Cross multiply
    38,327.50x = 57,491.77 × 12,032.25
  4. Step 4: Simplify right side
    38,327.50x = 691,755,349.58
  5. Step 5: Solve for x
    x = 691,755,349.58/38,327.50
  6. Step 6: Final answer
    x = 18,048.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.