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Finding the Fourth Proportional to 42,028.20, 63,042.03 and 12,446.19

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Solution

The fourth proportional to 42,028.20, 63,042.03 and 12,446.19 is: 18,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,028.20 : 63,042.03 = 12,446.19 : x
  2. Step 2: Convert to fraction form
    42,028.20/63,042.03 = 12,446.19/x
  3. Step 3: Cross multiply
    42,028.20x = 63,042.03 × 12,446.19
  4. Step 4: Simplify right side
    42,028.20x = 784,633,083.37
  5. Step 5: Solve for x
    x = 784,633,083.37/42,028.20
  6. Step 6: Final answer
    x = 18,669.21

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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.