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Finding the Fourth Proportional to 32,400.56, 44,739.96 and 21,825.20

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Solution

The fourth proportional to 32,400.56, 44,739.96 and 21,825.20 is: 30,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400.56 : 44,739.96 = 21,825.20 : x
  2. Step 2: Convert to fraction form
    32,400.56/44,739.96 = 21,825.20/x
  3. Step 3: Cross multiply
    32,400.56x = 44,739.96 × 21,825.20
  4. Step 4: Simplify right side
    32,400.56x = 976,458,574.99
  5. Step 5: Solve for x
    x = 976,458,574.99/32,400.56
  6. Step 6: Final answer
    x = 30,137.09

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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.