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Finding the Fourth Proportional to 30,821.46, 42,532.89 and 17,392.97

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Solution

The fourth proportional to 30,821.46, 42,532.89 and 17,392.97 is: 24,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.46 : 42,532.89 = 17,392.97 : x
  2. Step 2: Convert to fraction form
    30,821.46/42,532.89 = 17,392.97/x
  3. Step 3: Cross multiply
    30,821.46x = 42,532.89 × 17,392.97
  4. Step 4: Simplify right side
    30,821.46x = 739,773,067.12
  5. Step 5: Solve for x
    x = 739,773,067.12/30,821.46
  6. Step 6: Final answer
    x = 24,001.88

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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.