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Finding the Fourth Proportional to 42,029.30, 63,053.17 and 12,449.44

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Solution

The fourth proportional to 42,029.30, 63,053.17 and 12,449.44 is: 18,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,029.30 : 63,053.17 = 12,449.44 : x
  2. Step 2: Convert to fraction form
    42,029.30/63,053.17 = 12,449.44/x
  3. Step 3: Cross multiply
    42,029.30x = 63,053.17 × 12,449.44
  4. Step 4: Simplify right side
    42,029.30x = 784,976,467.97
  5. Step 5: Solve for x
    x = 784,976,467.97/42,029.30
  6. Step 6: Final answer
    x = 18,676.89

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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.