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Finding the Fourth Proportional to 30,992.87, 42,769.98 and 17,566.67

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Solution

The fourth proportional to 30,992.87, 42,769.98 and 17,566.67 is: 24,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.87 : 42,769.98 = 17,566.67 : x
  2. Step 2: Convert to fraction form
    30,992.87/42,769.98 = 17,566.67/x
  3. Step 3: Cross multiply
    30,992.87x = 42,769.98 × 17,566.67
  4. Step 4: Simplify right side
    30,992.87x = 751,326,231.49
  5. Step 5: Solve for x
    x = 751,326,231.49/30,992.87
  6. Step 6: Final answer
    x = 24,241.90

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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.