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Finding the Fourth Proportional to 30,456.66, 42,029.92 and 16,844.70

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Solution

The fourth proportional to 30,456.66, 42,029.92 and 16,844.70 is: 23,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456.66 : 42,029.92 = 16,844.70 : x
  2. Step 2: Convert to fraction form
    30,456.66/42,029.92 = 16,844.70/x
  3. Step 3: Cross multiply
    30,456.66x = 42,029.92 × 16,844.70
  4. Step 4: Simplify right side
    30,456.66x = 707,981,393.42
  5. Step 5: Solve for x
    x = 707,981,393.42/30,456.66
  6. Step 6: Final answer
    x = 23,245.54

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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.