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Finding the Fourth Proportional to 30,922.35, 42,672.92 and 16,775.19

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Solution

The fourth proportional to 30,922.35, 42,672.92 and 16,775.19 is: 23,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.35 : 42,672.92 = 16,775.19 : x
  2. Step 2: Convert to fraction form
    30,922.35/42,672.92 = 16,775.19/x
  3. Step 3: Cross multiply
    30,922.35x = 42,672.92 × 16,775.19
  4. Step 4: Simplify right side
    30,922.35x = 715,846,574.27
  5. Step 5: Solve for x
    x = 715,846,574.27/30,922.35
  6. Step 6: Final answer
    x = 23,149.81

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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.