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Finding the Fourth Proportional to 32,034.48, 44,184.24 and 21,405.48

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Solution

The fourth proportional to 32,034.48, 44,184.24 and 21,405.48 is: 29,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.48 : 44,184.24 = 21,405.48 : x
  2. Step 2: Convert to fraction form
    32,034.48/44,184.24 = 21,405.48/x
  3. Step 3: Cross multiply
    32,034.48x = 44,184.24 × 21,405.48
  4. Step 4: Simplify right side
    32,034.48x = 945,784,865.64
  5. Step 5: Solve for x
    x = 945,784,865.64/32,034.48
  6. Step 6: Final answer
    x = 29,523.96

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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.