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Finding the Fourth Proportional to 30,982.20, 42,759.12 and 18,407

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Solution

The fourth proportional to 30,982.20, 42,759.12 and 18,407 is: 25,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.20 : 42,759.12 = 18,407 : x
  2. Step 2: Convert to fraction form
    30,982.20/42,759.12 = 18,407/x
  3. Step 3: Cross multiply
    30,982.20x = 42,759.12 × 18,407
  4. Step 4: Simplify right side
    30,982.20x = 787,067,121.84
  5. Step 5: Solve for x
    x = 787,067,121.84/30,982.20
  6. Step 6: Final answer
    x = 25,403.85

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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.