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Finding the Fourth Proportional to 42,451.38, 63,677.07 and 16,149.96

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Solution

The fourth proportional to 42,451.38, 63,677.07 and 16,149.96 is: 24,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,451.38 : 63,677.07 = 16,149.96 : x
  2. Step 2: Convert to fraction form
    42,451.38/63,677.07 = 16,149.96/x
  3. Step 3: Cross multiply
    42,451.38x = 63,677.07 × 16,149.96
  4. Step 4: Simplify right side
    42,451.38x = 1,028,382,133.42
  5. Step 5: Solve for x
    x = 1,028,382,133.42/42,451.38
  6. Step 6: Final answer
    x = 24,224.94

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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.