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Finding the Fourth Proportional to 32,755.84, 45,189.05 and 21,405.64

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Solution

The fourth proportional to 32,755.84, 45,189.05 and 21,405.64 is: 29,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,755.84 : 45,189.05 = 21,405.64 : x
  2. Step 2: Convert to fraction form
    32,755.84/45,189.05 = 21,405.64/x
  3. Step 3: Cross multiply
    32,755.84x = 45,189.05 × 21,405.64
  4. Step 4: Simplify right side
    32,755.84x = 967,300,310.30
  5. Step 5: Solve for x
    x = 967,300,310.30/32,755.84
  6. Step 6: Final answer
    x = 29,530.62

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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.