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Finding the Fourth Proportional to 32,180.34, 44,408.80 and 19,605.09

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Solution

The fourth proportional to 32,180.34, 44,408.80 and 19,605.09 is: 27,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,180.34 : 44,408.80 = 19,605.09 : x
  2. Step 2: Convert to fraction form
    32,180.34/44,408.80 = 19,605.09/x
  3. Step 3: Cross multiply
    32,180.34x = 44,408.80 × 19,605.09
  4. Step 4: Simplify right side
    32,180.34x = 870,638,520.79
  5. Step 5: Solve for x
    x = 870,638,520.79/32,180.34
  6. Step 6: Final answer
    x = 27,054.98

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