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Finding the Fourth Proportional to 42,491.68, 63,749.82 and 16,198.47

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Solution

The fourth proportional to 42,491.68, 63,749.82 and 16,198.47 is: 24,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,491.68 : 63,749.82 = 16,198.47 : x
  2. Step 2: Convert to fraction form
    42,491.68/63,749.82 = 16,198.47/x
  3. Step 3: Cross multiply
    42,491.68x = 63,749.82 × 16,198.47
  4. Step 4: Simplify right side
    42,491.68x = 1,032,649,546.78
  5. Step 5: Solve for x
    x = 1,032,649,546.78/42,491.68
  6. Step 6: Final answer
    x = 24,302.39

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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.