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Finding the Fourth Proportional to 32,162.30, 48,229.77 and 13,173.84

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Solution

The fourth proportional to 32,162.30, 48,229.77 and 13,173.84 is: 19,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162.30 : 48,229.77 = 13,173.84 : x
  2. Step 2: Convert to fraction form
    32,162.30/48,229.77 = 13,173.84/x
  3. Step 3: Cross multiply
    32,162.30x = 48,229.77 × 13,173.84
  4. Step 4: Simplify right side
    32,162.30x = 635,371,306.15
  5. Step 5: Solve for x
    x = 635,371,306.15/32,162.30
  6. Step 6: Final answer
    x = 19,755.16

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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.