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Finding the Fourth Proportional to 30,735.58, 42,424.71 and 20,664.43

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Solution

The fourth proportional to 30,735.58, 42,424.71 and 20,664.43 is: 28,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.58 : 42,424.71 = 20,664.43 : x
  2. Step 2: Convert to fraction form
    30,735.58/42,424.71 = 20,664.43/x
  3. Step 3: Cross multiply
    30,735.58x = 42,424.71 × 20,664.43
  4. Step 4: Simplify right side
    30,735.58x = 876,682,450.07
  5. Step 5: Solve for x
    x = 876,682,450.07/30,735.58
  6. Step 6: Final answer
    x = 28,523.37

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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.