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Finding the Fourth Proportional to 32,197.21, 44,453.72 and 20,116.08

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Solution

The fourth proportional to 32,197.21, 44,453.72 and 20,116.08 is: 27,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.21 : 44,453.72 = 20,116.08 : x
  2. Step 2: Convert to fraction form
    32,197.21/44,453.72 = 20,116.08/x
  3. Step 3: Cross multiply
    32,197.21x = 44,453.72 × 20,116.08
  4. Step 4: Simplify right side
    32,197.21x = 894,234,376.10
  5. Step 5: Solve for x
    x = 894,234,376.10/32,197.21
  6. Step 6: Final answer
    x = 27,773.66

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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.