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Finding the Fourth Proportional to 42,539.36, 63,822.12 and 21,777.44

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Solution

The fourth proportional to 42,539.36, 63,822.12 and 21,777.44 is: 32,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,539.36 : 63,822.12 = 21,777.44 : x
  2. Step 2: Convert to fraction form
    42,539.36/63,822.12 = 21,777.44/x
  3. Step 3: Cross multiply
    42,539.36x = 63,822.12 × 21,777.44
  4. Step 4: Simplify right side
    42,539.36x = 1,389,882,388.97
  5. Step 5: Solve for x
    x = 1,389,882,388.97/42,539.36
  6. Step 6: Final answer
    x = 32,672.86

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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.