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Finding the Fourth Proportional to 30,972.62, 42,759.94 and 20,393

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Solution

The fourth proportional to 30,972.62, 42,759.94 and 20,393 is: 28,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972.62 : 42,759.94 = 20,393 : x
  2. Step 2: Convert to fraction form
    30,972.62/42,759.94 = 20,393/x
  3. Step 3: Cross multiply
    30,972.62x = 42,759.94 × 20,393
  4. Step 4: Simplify right side
    30,972.62x = 872,003,456.42
  5. Step 5: Solve for x
    x = 872,003,456.42/30,972.62
  6. Step 6: Final answer
    x = 28,154.01

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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.