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Finding the Fourth Proportional to 30,797.82, 42,500.97 and 16,650.68

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Solution

The fourth proportional to 30,797.82, 42,500.97 and 16,650.68 is: 22,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.82 : 42,500.97 = 16,650.68 : x
  2. Step 2: Convert to fraction form
    30,797.82/42,500.97 = 16,650.68/x
  3. Step 3: Cross multiply
    30,797.82x = 42,500.97 × 16,650.68
  4. Step 4: Simplify right side
    30,797.82x = 707,669,838.65
  5. Step 5: Solve for x
    x = 707,669,838.65/30,797.82
  6. Step 6: Final answer
    x = 22,977.92

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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.