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Finding the Fourth Proportional to 30,781.62, 42,478.83 and 16,634.43

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Solution

The fourth proportional to 30,781.62, 42,478.83 and 16,634.43 is: 22,955.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.62 : 42,478.83 = 16,634.43 : x
  2. Step 2: Convert to fraction form
    30,781.62/42,478.83 = 16,634.43/x
  3. Step 3: Cross multiply
    30,781.62x = 42,478.83 × 16,634.43
  4. Step 4: Simplify right side
    30,781.62x = 706,611,124.12
  5. Step 5: Solve for x
    x = 706,611,124.12/30,781.62
  6. Step 6: Final answer
    x = 22,955.62

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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.