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Finding the Fourth Proportional to 32,409.60, 44,773.20 and 30,196.80

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Solution

The fourth proportional to 32,409.60, 44,773.20 and 30,196.80 is: 41,716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.60 : 44,773.20 = 30,196.80 : x
  2. Step 2: Convert to fraction form
    32,409.60/44,773.20 = 30,196.80/x
  3. Step 3: Cross multiply
    32,409.60x = 44,773.20 × 30,196.80
  4. Step 4: Simplify right side
    32,409.60x = 1,352,007,365.76
  5. Step 5: Solve for x
    x = 1,352,007,365.76/32,409.60
  6. Step 6: Final answer
    x = 41,716.26

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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.