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Finding the Fourth Proportional to 30,879.92, 42,614.16 and 16,732.82

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Solution

The fourth proportional to 30,879.92, 42,614.16 and 16,732.82 is: 23,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,879.92 : 42,614.16 = 16,732.82 : x
  2. Step 2: Convert to fraction form
    30,879.92/42,614.16 = 16,732.82/x
  3. Step 3: Cross multiply
    30,879.92x = 42,614.16 × 16,732.82
  4. Step 4: Simplify right side
    30,879.92x = 713,055,068.73
  5. Step 5: Solve for x
    x = 713,055,068.73/30,879.92
  6. Step 6: Final answer
    x = 23,091.22

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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.