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Finding the Fourth Proportional to 30,496.80, 45,740.54 and 8,311.97

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Solution

The fourth proportional to 30,496.80, 45,740.54 and 8,311.97 is: 12,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.80 : 45,740.54 = 8,311.97 : x
  2. Step 2: Convert to fraction form
    30,496.80/45,740.54 = 8,311.97/x
  3. Step 3: Cross multiply
    30,496.80x = 45,740.54 × 8,311.97
  4. Step 4: Simplify right side
    30,496.80x = 380,193,815.66
  5. Step 5: Solve for x
    x = 380,193,815.66/30,496.80
  6. Step 6: Final answer
    x = 12,466.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.