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Finding the Fourth Proportional to 30,994.25, 42,772.12 and 16,847.06

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Solution

The fourth proportional to 30,994.25, 42,772.12 and 16,847.06 is: 23,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.25 : 42,772.12 = 16,847.06 : x
  2. Step 2: Convert to fraction form
    30,994.25/42,772.12 = 16,847.06/x
  3. Step 3: Cross multiply
    30,994.25x = 42,772.12 × 16,847.06
  4. Step 4: Simplify right side
    30,994.25x = 720,584,215.99
  5. Step 5: Solve for x
    x = 720,584,215.99/30,994.25
  6. Step 6: Final answer
    x = 23,248.97

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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.