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Finding the Fourth Proportional to 30,609.60, 42,244.07 and 17,861.82

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Solution

The fourth proportional to 30,609.60, 42,244.07 and 17,861.82 is: 24,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.60 : 42,244.07 = 17,861.82 : x
  2. Step 2: Convert to fraction form
    30,609.60/42,244.07 = 17,861.82/x
  3. Step 3: Cross multiply
    30,609.60x = 42,244.07 × 17,861.82
  4. Step 4: Simplify right side
    30,609.60x = 754,555,885.10
  5. Step 5: Solve for x
    x = 754,555,885.10/30,609.60
  6. Step 6: Final answer
    x = 24,650.96

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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.