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Finding the Fourth Proportional to 30,766.82, 42,458.22 and 16,619.66

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Solution

The fourth proportional to 30,766.82, 42,458.22 and 16,619.66 is: 22,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766.82 : 42,458.22 = 16,619.66 : x
  2. Step 2: Convert to fraction form
    30,766.82/42,458.22 = 16,619.66/x
  3. Step 3: Cross multiply
    30,766.82x = 42,458.22 × 16,619.66
  4. Step 4: Simplify right side
    30,766.82x = 705,641,180.61
  5. Step 5: Solve for x
    x = 705,641,180.61/30,766.82
  6. Step 6: Final answer
    x = 22,935.14

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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.