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Finding the Fourth Proportional to 30,873.72, 42,603.18 and 17,446.14

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Solution

The fourth proportional to 30,873.72, 42,603.18 and 17,446.14 is: 24,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873.72 : 42,603.18 = 17,446.14 : x
  2. Step 2: Convert to fraction form
    30,873.72/42,603.18 = 17,446.14/x
  3. Step 3: Cross multiply
    30,873.72x = 42,603.18 × 17,446.14
  4. Step 4: Simplify right side
    30,873.72x = 743,261,042.73
  5. Step 5: Solve for x
    x = 743,261,042.73/30,873.72
  6. Step 6: Final answer
    x = 24,074.23

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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.