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Finding the Fourth Proportional to 30,511.62, 42,098.79 and 17,757.09

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Solution

The fourth proportional to 30,511.62, 42,098.79 and 17,757.09 is: 24,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.62 : 42,098.79 = 17,757.09 : x
  2. Step 2: Convert to fraction form
    30,511.62/42,098.79 = 17,757.09/x
  3. Step 3: Cross multiply
    30,511.62x = 42,098.79 × 17,757.09
  4. Step 4: Simplify right side
    30,511.62x = 747,552,002.92
  5. Step 5: Solve for x
    x = 747,552,002.92/30,511.62
  6. Step 6: Final answer
    x = 24,500.57

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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.